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Finding the Fourth Proportional to 278,095.56, 417,121.58 and 78,407.88

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Solution

The fourth proportional to 278,095.56, 417,121.58 and 78,407.88 is: 117,605.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,095.56 : 417,121.58 = 78,407.88 : x
  2. Step 2: Convert to fraction form
    278,095.56/417,121.58 = 78,407.88/x
  3. Step 3: Cross multiply
    278,095.56x = 417,121.58 × 78,407.88
  4. Step 4: Simplify right side
    278,095.56x = 32,705,618,790.05
  5. Step 5: Solve for x
    x = 32,705,618,790.05/278,095.56
  6. Step 6: Final answer
    x = 117,605.68

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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.