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Finding the Fourth Proportional to 76,387.74, 105,416.22 and 42,398.43

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Solution

The fourth proportional to 76,387.74, 105,416.22 and 42,398.43 is: 58,510.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,387.74 : 105,416.22 = 42,398.43 : x
  2. Step 2: Convert to fraction form
    76,387.74/105,416.22 = 42,398.43/x
  3. Step 3: Cross multiply
    76,387.74x = 105,416.22 × 42,398.43
  4. Step 4: Simplify right side
    76,387.74x = 4,469,482,224.53
  5. Step 5: Solve for x
    x = 4,469,482,224.53/76,387.74
  6. Step 6: Final answer
    x = 58,510.47

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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.