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Finding the Fourth Proportional to 76,744.52, 105,905.84 and 42,752.96

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Solution

The fourth proportional to 76,744.52, 105,905.84 and 42,752.96 is: 58,998.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,744.52 : 105,905.84 = 42,752.96 : x
  2. Step 2: Convert to fraction form
    76,744.52/105,905.84 = 42,752.96/x
  3. Step 3: Cross multiply
    76,744.52x = 105,905.84 × 42,752.96
  4. Step 4: Simplify right side
    76,744.52x = 4,527,787,397.99
  5. Step 5: Solve for x
    x = 4,527,787,397.99/76,744.52
  6. Step 6: Final answer
    x = 58,998.19

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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.