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Finding the Fourth Proportional to 70,437.10, 105,672.94 and 20,517.66

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Solution

The fourth proportional to 70,437.10, 105,672.94 and 20,517.66 is: 30,781.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,437.10 : 105,672.94 = 20,517.66 : x
  2. Step 2: Convert to fraction form
    70,437.10/105,672.94 = 20,517.66/x
  3. Step 3: Cross multiply
    70,437.10x = 105,672.94 × 20,517.66
  4. Step 4: Simplify right side
    70,437.10x = 2,168,161,402.83
  5. Step 5: Solve for x
    x = 2,168,161,402.83/70,437.10
  6. Step 6: Final answer
    x = 30,781.53

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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.