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Finding the Fourth Proportional to 96,580.78, 133,281.30 and 54,139.30

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Solution

The fourth proportional to 96,580.78, 133,281.30 and 54,139.30 is: 74,712.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,580.78 : 133,281.30 = 54,139.30 : x
  2. Step 2: Convert to fraction form
    96,580.78/133,281.30 = 54,139.30/x
  3. Step 3: Cross multiply
    96,580.78x = 133,281.30 × 54,139.30
  4. Step 4: Simplify right side
    96,580.78x = 7,215,756,285.09
  5. Step 5: Solve for x
    x = 7,215,756,285.09/96,580.78
  6. Step 6: Final answer
    x = 74,712.14

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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.