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Finding the Fourth Proportional to 100,827.70, 151,205.10 and 50,891.20

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Solution

The fourth proportional to 100,827.70, 151,205.10 and 50,891.20 is: 76,318.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,827.70 : 151,205.10 = 50,891.20 : x
  2. Step 2: Convert to fraction form
    100,827.70/151,205.10 = 50,891.20/x
  3. Step 3: Cross multiply
    100,827.70x = 151,205.10 × 50,891.20
  4. Step 4: Simplify right side
    100,827.70x = 7,695,008,985.12
  5. Step 5: Solve for x
    x = 7,695,008,985.12/100,827.70
  6. Step 6: Final answer
    x = 76,318.40

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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.