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Finding the Fourth Proportional to 75,695.78, 113,543.68 and 20,293.22

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Solution

The fourth proportional to 75,695.78, 113,543.68 and 20,293.22 is: 30,439.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,695.78 : 113,543.68 = 20,293.22 : x
  2. Step 2: Convert to fraction form
    75,695.78/113,543.68 = 20,293.22/x
  3. Step 3: Cross multiply
    75,695.78x = 113,543.68 × 20,293.22
  4. Step 4: Simplify right side
    75,695.78x = 2,304,166,877.85
  5. Step 5: Solve for x
    x = 2,304,166,877.85/75,695.78
  6. Step 6: Final answer
    x = 30,439.83

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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.