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Finding the Fourth Proportional to 261,366.78, 392,054.47 and 71,825.97

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Solution

The fourth proportional to 261,366.78, 392,054.47 and 71,825.97 is: 107,740.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,366.78 : 392,054.47 = 71,825.97 : x
  2. Step 2: Convert to fraction form
    261,366.78/392,054.47 = 71,825.97/x
  3. Step 3: Cross multiply
    261,366.78x = 392,054.47 × 71,825.97
  4. Step 4: Simplify right side
    261,366.78x = 28,159,692,600.59
  5. Step 5: Solve for x
    x = 28,159,692,600.59/261,366.78
  6. Step 6: Final answer
    x = 107,740.14

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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.