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Finding the Fourth Proportional to 120,805.66, 181,136.69 and 45,931.28

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Solution

The fourth proportional to 120,805.66, 181,136.69 and 45,931.28 is: 68,869.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,805.66 : 181,136.69 = 45,931.28 : x
  2. Step 2: Convert to fraction form
    120,805.66/181,136.69 = 45,931.28/x
  3. Step 3: Cross multiply
    120,805.66x = 181,136.69 × 45,931.28
  4. Step 4: Simplify right side
    120,805.66x = 8,319,840,141.49
  5. Step 5: Solve for x
    x = 8,319,840,141.49/120,805.66
  6. Step 6: Final answer
    x = 68,869.62

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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.