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Finding the Fourth Proportional to 137,677.56, 206,430.27 and 57,693.90

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Solution

The fourth proportional to 137,677.56, 206,430.27 and 57,693.90 is: 86,504.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,677.56 : 206,430.27 = 57,693.90 : x
  2. Step 2: Convert to fraction form
    137,677.56/206,430.27 = 57,693.90/x
  3. Step 3: Cross multiply
    137,677.56x = 206,430.27 × 57,693.90
  4. Step 4: Simplify right side
    137,677.56x = 11,909,767,354.35
  5. Step 5: Solve for x
    x = 11,909,767,354.35/137,677.56
  6. Step 6: Final answer
    x = 86,504.78

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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.