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Finding the Fourth Proportional to 261,396.30, 392,057.38 and 83,880.34

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Solution

The fourth proportional to 261,396.30, 392,057.38 and 83,880.34 is: 125,808.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,396.30 : 392,057.38 = 83,880.34 : x
  2. Step 2: Convert to fraction form
    261,396.30/392,057.38 = 83,880.34/x
  3. Step 3: Cross multiply
    261,396.30x = 392,057.38 × 83,880.34
  4. Step 4: Simplify right side
    261,396.30x = 32,885,906,333.91
  5. Step 5: Solve for x
    x = 32,885,906,333.91/261,396.30
  6. Step 6: Final answer
    x = 125,808.61

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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.