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Finding the Fourth Proportional to 122,198.46, 168,515.76 and 85,888.20

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Solution

The fourth proportional to 122,198.46, 168,515.76 and 85,888.20 is: 118,442.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,198.46 : 168,515.76 = 85,888.20 : x
  2. Step 2: Convert to fraction form
    122,198.46/168,515.76 = 85,888.20/x
  3. Step 3: Cross multiply
    122,198.46x = 168,515.76 × 85,888.20
  4. Step 4: Simplify right side
    122,198.46x = 14,473,515,298.03
  5. Step 5: Solve for x
    x = 14,473,515,298.03/122,198.46
  6. Step 6: Final answer
    x = 118,442.70

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1.5x scale

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.