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Finding the Fourth Proportional to 207,833.10, 311,841.45 and 101,157.90

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Solution

The fourth proportional to 207,833.10, 311,841.45 and 101,157.90 is: 151,781.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,833.10 : 311,841.45 = 101,157.90 : x
  2. Step 2: Convert to fraction form
    207,833.10/311,841.45 = 101,157.90/x
  3. Step 3: Cross multiply
    207,833.10x = 311,841.45 × 101,157.90
  4. Step 4: Simplify right side
    207,833.10x = 31,545,226,214.96
  5. Step 5: Solve for x
    x = 31,545,226,214.96/207,833.10
  6. Step 6: Final answer
    x = 151,781.53

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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.