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Finding the Fourth Proportional to 278,074.60, 417,107.58 and 67,710.76

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Solution

The fourth proportional to 278,074.60, 417,107.58 and 67,710.76 is: 101,565.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,074.60 : 417,107.58 = 67,710.76 : x
  2. Step 2: Convert to fraction form
    278,074.60/417,107.58 = 67,710.76/x
  3. Step 3: Cross multiply
    278,074.60x = 417,107.58 × 67,710.76
  4. Step 4: Simplify right side
    278,074.60x = 28,242,671,243.56
  5. Step 5: Solve for x
    x = 28,242,671,243.56/278,074.60
  6. Step 6: Final answer
    x = 101,565.09

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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.