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Finding the Fourth Proportional to 157,138.32, 216,846.71 and 85,516.80

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Solution

The fourth proportional to 157,138.32, 216,846.71 and 85,516.80 is: 118,010.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,138.32 : 216,846.71 = 85,516.80 : x
  2. Step 2: Convert to fraction form
    157,138.32/216,846.71 = 85,516.80/x
  3. Step 3: Cross multiply
    157,138.32x = 216,846.71 × 85,516.80
  4. Step 4: Simplify right side
    157,138.32x = 18,544,036,729.73
  5. Step 5: Solve for x
    x = 18,544,036,729.73/157,138.32
  6. Step 6: Final answer
    x = 118,010.91

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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.