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Finding the Fourth Proportional to 109,801.40, 164,702.10 and 54,505.40

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Solution

The fourth proportional to 109,801.40, 164,702.10 and 54,505.40 is: 81,758.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,801.40 : 164,702.10 = 54,505.40 : x
  2. Step 2: Convert to fraction form
    109,801.40/164,702.10 = 54,505.40/x
  3. Step 3: Cross multiply
    109,801.40x = 164,702.10 × 54,505.40
  4. Step 4: Simplify right side
    109,801.40x = 8,977,153,841.34
  5. Step 5: Solve for x
    x = 8,977,153,841.34/109,801.40
  6. Step 6: Final answer
    x = 81,758.10

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1.5x scale

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.