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Finding the Fourth Proportional to 157,981.54, 217,993.47 and 101,469.46

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Solution

The fourth proportional to 157,981.54, 217,993.47 and 101,469.46 is: 140,014.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,981.54 : 217,993.47 = 101,469.46 : x
  2. Step 2: Convert to fraction form
    157,981.54/217,993.47 = 101,469.46/x
  3. Step 3: Cross multiply
    157,981.54x = 217,993.47 × 101,469.46
  4. Step 4: Simplify right side
    157,981.54x = 22,119,679,684.43
  5. Step 5: Solve for x
    x = 22,119,679,684.43/157,981.54
  6. Step 6: Final answer
    x = 140,014.33

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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.