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Finding the Fourth Proportional to 76,565.63, 114,871.73 and 39,151.97

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Solution

The fourth proportional to 76,565.63, 114,871.73 and 39,151.97 is: 58,739.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,565.63 : 114,871.73 = 39,151.97 : x
  2. Step 2: Convert to fraction form
    76,565.63/114,871.73 = 39,151.97/x
  3. Step 3: Cross multiply
    76,565.63x = 114,871.73 × 39,151.97
  4. Step 4: Simplify right side
    76,565.63x = 4,497,454,526.81
  5. Step 5: Solve for x
    x = 4,497,454,526.81/76,565.63
  6. Step 6: Final answer
    x = 58,739.86

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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.