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Finding the Fourth Proportional to 230,545.72, 345,829.20 and 86,485.96

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Solution

The fourth proportional to 230,545.72, 345,829.20 and 86,485.96 is: 129,732.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,545.72 : 345,829.20 = 86,485.96 : x
  2. Step 2: Convert to fraction form
    230,545.72/345,829.20 = 86,485.96/x
  3. Step 3: Cross multiply
    230,545.72x = 345,829.20 × 86,485.96
  4. Step 4: Simplify right side
    230,545.72x = 29,909,370,358.03
  5. Step 5: Solve for x
    x = 29,909,370,358.03/230,545.72
  6. Step 6: Final answer
    x = 129,732.92

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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.