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Finding the Fourth Proportional to 157,961.45, 218,133.11 and 101,472.05

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Solution

The fourth proportional to 157,961.45, 218,133.11 and 101,472.05 is: 140,125.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,961.45 : 218,133.11 = 101,472.05 : x
  2. Step 2: Convert to fraction form
    157,961.45/218,133.11 = 101,472.05/x
  3. Step 3: Cross multiply
    157,961.45x = 218,133.11 × 101,472.05
  4. Step 4: Simplify right side
    157,961.45x = 22,134,413,007.59
  5. Step 5: Solve for x
    x = 22,134,413,007.59/157,961.45
  6. Step 6: Final answer
    x = 140,125.41

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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.