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Finding the Fourth Proportional to 99,264, 148,812.32 and 43,061.78

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Solution

The fourth proportional to 99,264, 148,812.32 and 43,061.78 is: 64,556.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,264 : 148,812.32 = 43,061.78 : x
  2. Step 2: Convert to fraction form
    99,264/148,812.32 = 43,061.78/x
  3. Step 3: Cross multiply
    99,264x = 148,812.32 × 43,061.78
  4. Step 4: Simplify right side
    99,264x = 6,408,123,385.13
  5. Step 5: Solve for x
    x = 6,408,123,385.13/99,264
  6. Step 6: Final answer
    x = 64,556.37

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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.