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Finding the Fourth Proportional to 76,397.30, 114,593.43 and 31,417.10

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Solution

The fourth proportional to 76,397.30, 114,593.43 and 31,417.10 is: 47,124.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,397.30 : 114,593.43 = 31,417.10 : x
  2. Step 2: Convert to fraction form
    76,397.30/114,593.43 = 31,417.10/x
  3. Step 3: Cross multiply
    76,397.30x = 114,593.43 × 31,417.10
  4. Step 4: Simplify right side
    76,397.30x = 3,600,193,249.65
  5. Step 5: Solve for x
    x = 3,600,193,249.65/76,397.30
  6. Step 6: Final answer
    x = 47,124.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.