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Finding the Fourth Proportional to 178,065.86, 267,098.80 and 72,842

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Solution

The fourth proportional to 178,065.86, 267,098.80 and 72,842 is: 109,263.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,065.86 : 267,098.80 = 72,842 : x
  2. Step 2: Convert to fraction form
    178,065.86/267,098.80 = 72,842/x
  3. Step 3: Cross multiply
    178,065.86x = 267,098.80 × 72,842
  4. Step 4: Simplify right side
    178,065.86x = 19,456,010,789.60
  5. Step 5: Solve for x
    x = 19,456,010,789.60/178,065.86
  6. Step 6: Final answer
    x = 109,263.00

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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.