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Finding the Fourth Proportional to 157,887.96, 217,981.92 and 102,749.81

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Solution

The fourth proportional to 157,887.96, 217,981.92 and 102,749.81 is: 141,857.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,887.96 : 217,981.92 = 102,749.81 : x
  2. Step 2: Convert to fraction form
    157,887.96/217,981.92 = 102,749.81/x
  3. Step 3: Cross multiply
    157,887.96x = 217,981.92 × 102,749.81
  4. Step 4: Simplify right side
    157,887.96x = 22,397,599,773.53
  5. Step 5: Solve for x
    x = 22,397,599,773.53/157,887.96
  6. Step 6: Final answer
    x = 141,857.55

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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.