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Finding the Fourth Proportional to 157,469.32, 217,311.80 and 97,079.86

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Solution

The fourth proportional to 157,469.32, 217,311.80 and 97,079.86 is: 133,972.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,469.32 : 217,311.80 = 97,079.86 : x
  2. Step 2: Convert to fraction form
    157,469.32/217,311.80 = 97,079.86/x
  3. Step 3: Cross multiply
    157,469.32x = 217,311.80 × 97,079.86
  4. Step 4: Simplify right side
    157,469.32x = 21,096,597,548.39
  5. Step 5: Solve for x
    x = 21,096,597,548.39/157,469.32
  6. Step 6: Final answer
    x = 133,972.75

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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.