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Finding the Fourth Proportional to 159,202.71, 219,696.17 and 87,581.16

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Solution

The fourth proportional to 159,202.71, 219,696.17 and 87,581.16 is: 120,860.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,202.71 : 219,696.17 = 87,581.16 : x
  2. Step 2: Convert to fraction form
    159,202.71/219,696.17 = 87,581.16/x
  3. Step 3: Cross multiply
    159,202.71x = 219,696.17 × 87,581.16
  4. Step 4: Simplify right side
    159,202.71x = 19,241,244,978.25
  5. Step 5: Solve for x
    x = 19,241,244,978.25/159,202.71
  6. Step 6: Final answer
    x = 120,860.03

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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.