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Finding the Fourth Proportional to 261,784.31, 392,684.96 and 72,258.89

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Solution

The fourth proportional to 261,784.31, 392,684.96 and 72,258.89 is: 108,390.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,784.31 : 392,684.96 = 72,258.89 : x
  2. Step 2: Convert to fraction form
    261,784.31/392,684.96 = 72,258.89/x
  3. Step 3: Cross multiply
    261,784.31x = 392,684.96 × 72,258.89
  4. Step 4: Simplify right side
    261,784.31x = 28,374,977,546.52
  5. Step 5: Solve for x
    x = 28,374,977,546.52/261,784.31
  6. Step 6: Final answer
    x = 108,390.68

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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.