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Finding the Fourth Proportional to 76,392.40, 105,419.92 and 42,398.89

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Solution

The fourth proportional to 76,392.40, 105,419.92 and 42,398.89 is: 58,509.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,392.40 : 105,419.92 = 42,398.89 : x
  2. Step 2: Convert to fraction form
    76,392.40/105,419.92 = 42,398.89/x
  3. Step 3: Cross multiply
    76,392.40x = 105,419.92 × 42,398.89
  4. Step 4: Simplify right side
    76,392.40x = 4,469,687,591.89
  5. Step 5: Solve for x
    x = 4,469,687,591.89/76,392.40
  6. Step 6: Final answer
    x = 58,509.59

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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.