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Finding the Fourth Proportional to 96,642, 133,380.54 and 58,938.12

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Solution

The fourth proportional to 96,642, 133,380.54 and 58,938.12 is: 81,343.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,642 : 133,380.54 = 58,938.12 : x
  2. Step 2: Convert to fraction form
    96,642/133,380.54 = 58,938.12/x
  3. Step 3: Cross multiply
    96,642x = 133,380.54 × 58,938.12
  4. Step 4: Simplify right side
    96,642x = 7,861,198,272.18
  5. Step 5: Solve for x
    x = 7,861,198,272.18/96,642
  6. Step 6: Final answer
    x = 81,343.50

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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.