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Finding the Fourth Proportional to 78,084.62, 117,102.76 and 28,158.30

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Solution

The fourth proportional to 78,084.62, 117,102.76 and 28,158.30 is: 42,228.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,084.62 : 117,102.76 = 28,158.30 : x
  2. Step 2: Convert to fraction form
    78,084.62/117,102.76 = 28,158.30/x
  3. Step 3: Cross multiply
    78,084.62x = 117,102.76 × 28,158.30
  4. Step 4: Simplify right side
    78,084.62x = 3,297,414,646.91
  5. Step 5: Solve for x
    x = 3,297,414,646.91/78,084.62
  6. Step 6: Final answer
    x = 42,228.73

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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.