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Finding the Fourth Proportional to 76,115.97, 105,037.88 and 42,125.87

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Solution

The fourth proportional to 76,115.97, 105,037.88 and 42,125.87 is: 58,132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,115.97 : 105,037.88 = 42,125.87 : x
  2. Step 2: Convert to fraction form
    76,115.97/105,037.88 = 42,125.87/x
  3. Step 3: Cross multiply
    76,115.97x = 105,037.88 × 42,125.87
  4. Step 4: Simplify right side
    76,115.97x = 4,424,811,342.14
  5. Step 5: Solve for x
    x = 4,424,811,342.14/76,115.97
  6. Step 6: Final answer
    x = 58,132.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.