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Finding the Fourth Proportional to 120,838.80, 181,276.65 and 61,642.18

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Solution

The fourth proportional to 120,838.80, 181,276.65 and 61,642.18 is: 92,472.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,838.80 : 181,276.65 = 61,642.18 : x
  2. Step 2: Convert to fraction form
    120,838.80/181,276.65 = 61,642.18/x
  3. Step 3: Cross multiply
    120,838.80x = 181,276.65 × 61,642.18
  4. Step 4: Simplify right side
    120,838.80x = 11,174,288,115.69
  5. Step 5: Solve for x
    x = 11,174,288,115.69/120,838.80
  6. Step 6: Final answer
    x = 92,472.68

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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.