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Finding the Fourth Proportional to 278,138.70, 417,070.01 and 88,574.36

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Solution

The fourth proportional to 278,138.70, 417,070.01 and 88,574.36 is: 132,817.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,138.70 : 417,070.01 = 88,574.36 : x
  2. Step 2: Convert to fraction form
    278,138.70/417,070.01 = 88,574.36/x
  3. Step 3: Cross multiply
    278,138.70x = 417,070.01 × 88,574.36
  4. Step 4: Simplify right side
    278,138.70x = 36,941,707,347.03
  5. Step 5: Solve for x
    x = 36,941,707,347.03/278,138.70
  6. Step 6: Final answer
    x = 132,817.57

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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.