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Finding the Fourth Proportional to 105,601.76, 157,964.88 and 80,451.52

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Solution

The fourth proportional to 105,601.76, 157,964.88 and 80,451.52 is: 120,343.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,601.76 : 157,964.88 = 80,451.52 : x
  2. Step 2: Convert to fraction form
    105,601.76/157,964.88 = 80,451.52/x
  3. Step 3: Cross multiply
    105,601.76x = 157,964.88 × 80,451.52
  4. Step 4: Simplify right side
    105,601.76x = 12,708,514,702.62
  5. Step 5: Solve for x
    x = 12,708,514,702.62/105,601.76
  6. Step 6: Final answer
    x = 120,343.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.