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Finding the Fourth Proportional to 102,345.52, 141,234.69 and 57,023.32

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Solution

The fourth proportional to 102,345.52, 141,234.69 and 57,023.32 is: 78,691.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,345.52 : 141,234.69 = 57,023.32 : x
  2. Step 2: Convert to fraction form
    102,345.52/141,234.69 = 57,023.32/x
  3. Step 3: Cross multiply
    102,345.52x = 141,234.69 × 57,023.32
  4. Step 4: Simplify right side
    102,345.52x = 8,053,670,922.97
  5. Step 5: Solve for x
    x = 8,053,670,922.97/102,345.52
  6. Step 6: Final answer
    x = 78,691.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.