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Finding the Fourth Proportional to 278,187.70, 417,281.56 and 67,827.46

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Solution

The fourth proportional to 278,187.70, 417,281.56 and 67,827.46 is: 101,741.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,187.70 : 417,281.56 = 67,827.46 : x
  2. Step 2: Convert to fraction form
    278,187.70/417,281.56 = 67,827.46/x
  3. Step 3: Cross multiply
    278,187.70x = 417,281.56 × 67,827.46
  4. Step 4: Simplify right side
    278,187.70x = 28,303,148,319.64
  5. Step 5: Solve for x
    x = 28,303,148,319.64/278,187.70
  6. Step 6: Final answer
    x = 101,741.19

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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.