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Finding the Fourth Proportional to 76,432.88, 114,607.22 and 40,935.80

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Solution

The fourth proportional to 76,432.88, 114,607.22 and 40,935.80 is: 61,381.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,432.88 : 114,607.22 = 40,935.80 : x
  2. Step 2: Convert to fraction form
    76,432.88/114,607.22 = 40,935.80/x
  3. Step 3: Cross multiply
    76,432.88x = 114,607.22 × 40,935.80
  4. Step 4: Simplify right side
    76,432.88x = 4,691,537,458.76
  5. Step 5: Solve for x
    x = 4,691,537,458.76/76,432.88
  6. Step 6: Final answer
    x = 61,381.15

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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.