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Finding the Fourth Proportional to 261,466.86, 392,200.38 and 83,988.30

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Solution

The fourth proportional to 261,466.86, 392,200.38 and 83,988.30 is: 125,982.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,466.86 : 392,200.38 = 83,988.30 : x
  2. Step 2: Convert to fraction form
    261,466.86/392,200.38 = 83,988.30/x
  3. Step 3: Cross multiply
    261,466.86x = 392,200.38 × 83,988.30
  4. Step 4: Simplify right side
    261,466.86x = 32,940,243,175.55
  5. Step 5: Solve for x
    x = 32,940,243,175.55/261,466.86
  6. Step 6: Final answer
    x = 125,982.48

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Similar ratio
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1.5x scale

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.