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Finding the Fourth Proportional to 230,545.20, 345,817.80 and 137,002.80

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Solution

The fourth proportional to 230,545.20, 345,817.80 and 137,002.80 is: 205,504.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,545.20 : 345,817.80 = 137,002.80 : x
  2. Step 2: Convert to fraction form
    230,545.20/345,817.80 = 137,002.80/x
  3. Step 3: Cross multiply
    230,545.20x = 345,817.80 × 137,002.80
  4. Step 4: Simplify right side
    230,545.20x = 47,378,006,889.84
  5. Step 5: Solve for x
    x = 47,378,006,889.84/230,545.20
  6. Step 6: Final answer
    x = 205,504.20

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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.