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Finding the Fourth Proportional to 139,937.92, 193,005.12 and 89,641.60

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Solution

The fourth proportional to 139,937.92, 193,005.12 and 89,641.60 is: 123,635.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,937.92 : 193,005.12 = 89,641.60 : x
  2. Step 2: Convert to fraction form
    139,937.92/193,005.12 = 89,641.60/x
  3. Step 3: Cross multiply
    139,937.92x = 193,005.12 × 89,641.60
  4. Step 4: Simplify right side
    139,937.92x = 17,301,287,764.99
  5. Step 5: Solve for x
    x = 17,301,287,764.99/139,937.92
  6. Step 6: Final answer
    x = 123,635.45

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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.