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Finding the Fourth Proportional to 213,165.80, 319,863.90 and 94,855.40

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Solution

The fourth proportional to 213,165.80, 319,863.90 and 94,855.40 is: 142,334.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,165.80 : 319,863.90 = 94,855.40 : x
  2. Step 2: Convert to fraction form
    213,165.80/319,863.90 = 94,855.40/x
  3. Step 3: Cross multiply
    213,165.80x = 319,863.90 × 94,855.40
  4. Step 4: Simplify right side
    213,165.80x = 30,340,818,180.06
  5. Step 5: Solve for x
    x = 30,340,818,180.06/213,165.80
  6. Step 6: Final answer
    x = 142,334.36

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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.