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Finding the Fourth Proportional to 261,428.46, 392,059.65 and 83,893.95

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Solution

The fourth proportional to 261,428.46, 392,059.65 and 83,893.95 is: 125,814.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,428.46 : 392,059.65 = 83,893.95 : x
  2. Step 2: Convert to fraction form
    261,428.46/392,059.65 = 83,893.95/x
  3. Step 3: Cross multiply
    261,428.46x = 392,059.65 × 83,893.95
  4. Step 4: Simplify right side
    261,428.46x = 32,891,432,359.52
  5. Step 5: Solve for x
    x = 32,891,432,359.52/261,428.46
  6. Step 6: Final answer
    x = 125,814.28

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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.