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Finding the Fourth Proportional to 86,403.50, 129,605.25 and 20,739.50

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Solution

The fourth proportional to 86,403.50, 129,605.25 and 20,739.50 is: 31,109.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,403.50 : 129,605.25 = 20,739.50 : x
  2. Step 2: Convert to fraction form
    86,403.50/129,605.25 = 20,739.50/x
  3. Step 3: Cross multiply
    86,403.50x = 129,605.25 × 20,739.50
  4. Step 4: Simplify right side
    86,403.50x = 2,687,948,082.38
  5. Step 5: Solve for x
    x = 2,687,948,082.38/86,403.50
  6. Step 6: Final answer
    x = 31,109.25

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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.