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Finding the Fourth Proportional to 278,123.95, 417,047.78 and 88,559.58

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Solution

The fourth proportional to 278,123.95, 417,047.78 and 88,559.58 is: 132,795.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,123.95 : 417,047.78 = 88,559.58 : x
  2. Step 2: Convert to fraction form
    278,123.95/417,047.78 = 88,559.58/x
  3. Step 3: Cross multiply
    278,123.95x = 417,047.78 × 88,559.58
  4. Step 4: Simplify right side
    278,123.95x = 36,933,576,236.73
  5. Step 5: Solve for x
    x = 36,933,576,236.73/278,123.95
  6. Step 6: Final answer
    x = 132,795.38

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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.