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Finding the Fourth Proportional to 138,446.52, 191,043.20 and 78,007.20

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Solution

The fourth proportional to 138,446.52, 191,043.20 and 78,007.20 is: 107,642.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,446.52 : 191,043.20 = 78,007.20 : x
  2. Step 2: Convert to fraction form
    138,446.52/191,043.20 = 78,007.20/x
  3. Step 3: Cross multiply
    138,446.52x = 191,043.20 × 78,007.20
  4. Step 4: Simplify right side
    138,446.52x = 14,902,745,111.04
  5. Step 5: Solve for x
    x = 14,902,745,111.04/138,446.52
  6. Step 6: Final answer
    x = 107,642.61

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1.5x scale

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.