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Finding the Fourth Proportional to 278,141.70, 417,074.51 and 88,577.36

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Solution

The fourth proportional to 278,141.70, 417,074.51 and 88,577.36 is: 132,822.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,141.70 : 417,074.51 = 88,577.36 : x
  2. Step 2: Convert to fraction form
    278,141.70/417,074.51 = 88,577.36/x
  3. Step 3: Cross multiply
    278,141.70x = 417,074.51 × 88,577.36
  4. Step 4: Simplify right side
    278,141.70x = 36,943,359,019.09
  5. Step 5: Solve for x
    x = 36,943,359,019.09/278,141.70
  6. Step 6: Final answer
    x = 132,822.08

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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.