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Finding the Fourth Proportional to 278,104.58, 417,157.55 and 78,426.02

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Solution

The fourth proportional to 278,104.58, 417,157.55 and 78,426.02 is: 117,639.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,104.58 : 417,157.55 = 78,426.02 : x
  2. Step 2: Convert to fraction form
    278,104.58/417,157.55 = 78,426.02/x
  3. Step 3: Cross multiply
    278,104.58x = 417,157.55 × 78,426.02
  4. Step 4: Simplify right side
    278,104.58x = 32,716,006,359.45
  5. Step 5: Solve for x
    x = 32,716,006,359.45/278,104.58
  6. Step 6: Final answer
    x = 117,639.22

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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.