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Finding the Fourth Proportional to 278,098.71, 417,188.02 and 85,988.10

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Solution

The fourth proportional to 278,098.71, 417,188.02 and 85,988.10 is: 128,994.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,098.71 : 417,188.02 = 85,988.10 : x
  2. Step 2: Convert to fraction form
    278,098.71/417,188.02 = 85,988.10/x
  3. Step 3: Cross multiply
    278,098.71x = 417,188.02 × 85,988.10
  4. Step 4: Simplify right side
    278,098.71x = 35,873,205,182.56
  5. Step 5: Solve for x
    x = 35,873,205,182.56/278,098.71
  6. Step 6: Final answer
    x = 128,994.50

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1.5x scale

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.