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Finding the Fourth Proportional to 75,630.68, 113,437.42 and 20,231

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Solution

The fourth proportional to 75,630.68, 113,437.42 and 20,231 is: 30,344.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,630.68 : 113,437.42 = 20,231 : x
  2. Step 2: Convert to fraction form
    75,630.68/113,437.42 = 20,231/x
  3. Step 3: Cross multiply
    75,630.68x = 113,437.42 × 20,231
  4. Step 4: Simplify right side
    75,630.68x = 2,294,952,444.02
  5. Step 5: Solve for x
    x = 2,294,952,444.02/75,630.68
  6. Step 6: Final answer
    x = 30,344.20

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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.