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Finding the Fourth Proportional to 140,822.50, 194,335.11 and 77,162.74

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Solution

The fourth proportional to 140,822.50, 194,335.11 and 77,162.74 is: 106,484.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,822.50 : 194,335.11 = 77,162.74 : x
  2. Step 2: Convert to fraction form
    140,822.50/194,335.11 = 77,162.74/x
  3. Step 3: Cross multiply
    140,822.50x = 194,335.11 × 77,162.74
  4. Step 4: Simplify right side
    140,822.50x = 14,995,429,565.80
  5. Step 5: Solve for x
    x = 14,995,429,565.80/140,822.50
  6. Step 6: Final answer
    x = 106,484.61

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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.