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Finding the Fourth Proportional to 146,785.70, 220,178.55 and 136,871.30

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Solution

The fourth proportional to 146,785.70, 220,178.55 and 136,871.30 is: 205,306.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,785.70 : 220,178.55 = 136,871.30 : x
  2. Step 2: Convert to fraction form
    146,785.70/220,178.55 = 136,871.30/x
  3. Step 3: Cross multiply
    146,785.70x = 220,178.55 × 136,871.30
  4. Step 4: Simplify right side
    146,785.70x = 30,136,124,370.62
  5. Step 5: Solve for x
    x = 30,136,124,370.62/146,785.70
  6. Step 6: Final answer
    x = 205,306.95

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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.