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Finding the Fourth Proportional to 145,494.53, 218,251.01 and 45,658.66

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Solution

The fourth proportional to 145,494.53, 218,251.01 and 45,658.66 is: 68,490.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,494.53 : 218,251.01 = 45,658.66 : x
  2. Step 2: Convert to fraction form
    145,494.53/218,251.01 = 45,658.66/x
  3. Step 3: Cross multiply
    145,494.53x = 218,251.01 × 45,658.66
  4. Step 4: Simplify right side
    145,494.53x = 9,965,048,660.25
  5. Step 5: Solve for x
    x = 9,965,048,660.25/145,494.53
  6. Step 6: Final answer
    x = 68,490.88

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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.