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Finding the Fourth Proportional to 228,531.92, 342,703.10 and 86,352.62

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Solution

The fourth proportional to 228,531.92, 342,703.10 and 86,352.62 is: 129,493.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,531.92 : 342,703.10 = 86,352.62 : x
  2. Step 2: Convert to fraction form
    228,531.92/342,703.10 = 86,352.62/x
  3. Step 3: Cross multiply
    228,531.92x = 342,703.10 × 86,352.62
  4. Step 4: Simplify right side
    228,531.92x = 29,593,309,069.49
  5. Step 5: Solve for x
    x = 29,593,309,069.49/228,531.92
  6. Step 6: Final answer
    x = 129,493.11

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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.