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Finding the Fourth Proportional to 137,686.56, 206,354.88 and 75,284.16

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Solution

The fourth proportional to 137,686.56, 206,354.88 and 75,284.16 is: 112,830.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,686.56 : 206,354.88 = 75,284.16 : x
  2. Step 2: Convert to fraction form
    137,686.56/206,354.88 = 75,284.16/x
  3. Step 3: Cross multiply
    137,686.56x = 206,354.88 × 75,284.16
  4. Step 4: Simplify right side
    137,686.56x = 15,535,253,802.70
  5. Step 5: Solve for x
    x = 15,535,253,802.70/137,686.56
  6. Step 6: Final answer
    x = 112,830.58

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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.