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Finding the Fourth Proportional to 278,096.56, 417,123.08 and 78,408.88

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Solution

The fourth proportional to 278,096.56, 417,123.08 and 78,408.88 is: 117,607.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,096.56 : 417,123.08 = 78,408.88 : x
  2. Step 2: Convert to fraction form
    278,096.56/417,123.08 = 78,408.88/x
  3. Step 3: Cross multiply
    278,096.56x = 417,123.08 × 78,408.88
  4. Step 4: Simplify right side
    278,096.56x = 32,706,153,524.95
  5. Step 5: Solve for x
    x = 32,706,153,524.95/278,096.56
  6. Step 6: Final answer
    x = 117,607.18

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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.