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Finding the Fourth Proportional to 261,394.29, 392,054.38 and 83,878.34

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Solution

The fourth proportional to 261,394.29, 392,054.38 and 83,878.34 is: 125,805.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,394.29 : 392,054.38 = 83,878.34 : x
  2. Step 2: Convert to fraction form
    261,394.29/392,054.38 = 83,878.34/x
  3. Step 3: Cross multiply
    261,394.29x = 392,054.38 × 83,878.34
  4. Step 4: Simplify right side
    261,394.29x = 32,884,868,414.16
  5. Step 5: Solve for x
    x = 32,884,868,414.16/261,394.29
  6. Step 6: Final answer
    x = 125,805.61

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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.