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Finding the Fourth Proportional to 209,953,819.80, 314,930,729.70 and 123,647,801.40

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Solution

The fourth proportional to 209,953,819.80, 314,930,729.70 and 123,647,801.40 is: 185,471,702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,953,819.80 : 314,930,729.70 = 123,647,801.40 : x
  2. Step 2: Convert to fraction form
    209,953,819.80/314,930,729.70 = 123,647,801.40/x
  3. Step 3: Cross multiply
    209,953,819.80x = 314,930,729.70 × 123,647,801.40
  4. Step 4: Simplify right side
    209,953,819.80x = 38,940,492,320,702,680
  5. Step 5: Solve for x
    x = 38,940,492,320,702,680/209,953,819.80
  6. Step 6: Final answer
    x = 185,471,702.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.