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Finding the Fourth Proportional to 55,330, 76,358.10 and 31,138.52

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Solution

The fourth proportional to 55,330, 76,358.10 and 31,138.52 is: 42,972.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,330 : 76,358.10 = 31,138.52 : x
  2. Step 2: Convert to fraction form
    55,330/76,358.10 = 31,138.52/x
  3. Step 3: Cross multiply
    55,330x = 76,358.10 × 31,138.52
  4. Step 4: Simplify right side
    55,330x = 2,377,678,224.01
  5. Step 5: Solve for x
    x = 2,377,678,224.01/55,330
  6. Step 6: Final answer
    x = 42,972.68

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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.