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Finding the Fourth Proportional to 178,751.42, 268,126.88 and 45,631.68

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Solution

The fourth proportional to 178,751.42, 268,126.88 and 45,631.68 is: 68,447.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,751.42 : 268,126.88 = 45,631.68 : x
  2. Step 2: Convert to fraction form
    178,751.42/268,126.88 = 45,631.68/x
  3. Step 3: Cross multiply
    178,751.42x = 268,126.88 × 45,631.68
  4. Step 4: Simplify right side
    178,751.42x = 12,235,079,987.56
  5. Step 5: Solve for x
    x = 12,235,079,987.56/178,751.42
  6. Step 6: Final answer
    x = 68,447.46

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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.