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Finding the Fourth Proportional to 157,881, 217,875.78 and 90,813

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Solution

The fourth proportional to 157,881, 217,875.78 and 90,813 is: 125,321.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,881 : 217,875.78 = 90,813 : x
  2. Step 2: Convert to fraction form
    157,881/217,875.78 = 90,813/x
  3. Step 3: Cross multiply
    157,881x = 217,875.78 × 90,813
  4. Step 4: Simplify right side
    157,881x = 19,785,953,209.14
  5. Step 5: Solve for x
    x = 19,785,953,209.14/157,881
  6. Step 6: Final answer
    x = 125,321.94

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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.