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Finding the Fourth Proportional to 113,416, 156,503.88 and 65,672.56

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Solution

The fourth proportional to 113,416, 156,503.88 and 65,672.56 is: 90,622.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,416 : 156,503.88 = 65,672.56 : x
  2. Step 2: Convert to fraction form
    113,416/156,503.88 = 65,672.56/x
  3. Step 3: Cross multiply
    113,416x = 156,503.88 × 65,672.56
  4. Step 4: Simplify right side
    113,416x = 10,278,010,449.53
  5. Step 5: Solve for x
    x = 10,278,010,449.53/113,416
  6. Step 6: Final answer
    x = 90,622.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.