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Finding the Fourth Proportional to 178,765.67, 268,148.36 and 45,645.95

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Solution

The fourth proportional to 178,765.67, 268,148.36 and 45,645.95 is: 68,468.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,765.67 : 268,148.36 = 45,645.95 : x
  2. Step 2: Convert to fraction form
    178,765.67/268,148.36 = 45,645.95/x
  3. Step 3: Cross multiply
    178,765.67x = 268,148.36 × 45,645.95
  4. Step 4: Simplify right side
    178,765.67x = 12,239,885,064.17
  5. Step 5: Solve for x
    x = 12,239,885,064.17/178,765.67
  6. Step 6: Final answer
    x = 68,468.88

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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.