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Finding the Fourth Proportional to 42,396, 63,550.25 and 14,306.71

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Solution

The fourth proportional to 42,396, 63,550.25 and 14,306.71 is: 21,445.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,396 : 63,550.25 = 14,306.71 : x
  2. Step 2: Convert to fraction form
    42,396/63,550.25 = 14,306.71/x
  3. Step 3: Cross multiply
    42,396x = 63,550.25 × 14,306.71
  4. Step 4: Simplify right side
    42,396x = 909,194,997.18
  5. Step 5: Solve for x
    x = 909,194,997.18/42,396
  6. Step 6: Final answer
    x = 21,445.30

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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.