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Finding the Fourth Proportional to 71,646.81, 107,451.78 and 29,538.86

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Solution

The fourth proportional to 71,646.81, 107,451.78 and 29,538.86 is: 44,300.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,646.81 : 107,451.78 = 29,538.86 : x
  2. Step 2: Convert to fraction form
    71,646.81/107,451.78 = 29,538.86/x
  3. Step 3: Cross multiply
    71,646.81x = 107,451.78 × 29,538.86
  4. Step 4: Simplify right side
    71,646.81x = 3,174,002,548.91
  5. Step 5: Solve for x
    x = 3,174,002,548.91/71,646.81
  6. Step 6: Final answer
    x = 44,300.68

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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.