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Finding the Fourth Proportional to 278,187.86, 417,277.25 and 88,645.68

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Solution

The fourth proportional to 278,187.86, 417,277.25 and 88,645.68 is: 132,967.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,187.86 : 417,277.25 = 88,645.68 : x
  2. Step 2: Convert to fraction form
    278,187.86/417,277.25 = 88,645.68/x
  3. Step 3: Cross multiply
    278,187.86x = 417,277.25 × 88,645.68
  4. Step 4: Simplify right side
    278,187.86x = 36,989,825,131.55
  5. Step 5: Solve for x
    x = 36,989,825,131.55/278,187.86
  6. Step 6: Final answer
    x = 132,967.07

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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.