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Finding the Fourth Proportional to 157,219.38, 216,957.08 and 85,597.76

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Solution

The fourth proportional to 157,219.38, 216,957.08 and 85,597.76 is: 118,121.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,219.38 : 216,957.08 = 85,597.76 : x
  2. Step 2: Convert to fraction form
    157,219.38/216,957.08 = 85,597.76/x
  3. Step 3: Cross multiply
    157,219.38x = 216,957.08 × 85,597.76
  4. Step 4: Simplify right side
    157,219.38x = 18,571,040,820.53
  5. Step 5: Solve for x
    x = 18,571,040,820.53/157,219.38
  6. Step 6: Final answer
    x = 118,121.83

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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.