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Finding the Fourth Proportional to 76,752.87, 115,178.31 and 37,288.47

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Solution

The fourth proportional to 76,752.87, 115,178.31 and 37,288.47 is: 55,956.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,752.87 : 115,178.31 = 37,288.47 : x
  2. Step 2: Convert to fraction form
    76,752.87/115,178.31 = 37,288.47/x
  3. Step 3: Cross multiply
    76,752.87x = 115,178.31 × 37,288.47
  4. Step 4: Simplify right side
    76,752.87x = 4,294,822,957.09
  5. Step 5: Solve for x
    x = 4,294,822,957.09/76,752.87
  6. Step 6: Final answer
    x = 55,956.51

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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.