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Finding the Fourth Proportional to 278,138.46, 417,069.65 and 88,574.11

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Solution

The fourth proportional to 278,138.46, 417,069.65 and 88,574.11 is: 132,817.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,138.46 : 417,069.65 = 88,574.11 : x
  2. Step 2: Convert to fraction form
    278,138.46/417,069.65 = 88,574.11/x
  3. Step 3: Cross multiply
    278,138.46x = 417,069.65 × 88,574.11
  4. Step 4: Simplify right side
    278,138.46x = 36,941,573,056.76
  5. Step 5: Solve for x
    x = 36,941,573,056.76/278,138.46
  6. Step 6: Final answer
    x = 132,817.21

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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.