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Finding the Fourth Proportional to 147,442.92, 203,470.74 and 80,374.92

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Solution

The fourth proportional to 147,442.92, 203,470.74 and 80,374.92 is: 110,917.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,442.92 : 203,470.74 = 80,374.92 : x
  2. Step 2: Convert to fraction form
    147,442.92/203,470.74 = 80,374.92/x
  3. Step 3: Cross multiply
    147,442.92x = 203,470.74 × 80,374.92
  4. Step 4: Simplify right side
    147,442.92x = 16,353,944,449.84
  5. Step 5: Solve for x
    x = 16,353,944,449.84/147,442.92
  6. Step 6: Final answer
    x = 110,917.12

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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.