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Finding the Fourth Proportional to 85,101.92, 117,440.61 and 47,385.08

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Solution

The fourth proportional to 85,101.92, 117,440.61 and 47,385.08 is: 65,391.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,101.92 : 117,440.61 = 47,385.08 : x
  2. Step 2: Convert to fraction form
    85,101.92/117,440.61 = 47,385.08/x
  3. Step 3: Cross multiply
    85,101.92x = 117,440.61 × 47,385.08
  4. Step 4: Simplify right side
    85,101.92x = 5,564,932,700.10
  5. Step 5: Solve for x
    x = 5,564,932,700.10/85,101.92
  6. Step 6: Final answer
    x = 65,391.39

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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.