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Finding the Fourth Proportional to 159,201.82, 219,696.90 and 87,581.98

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Solution

The fourth proportional to 159,201.82, 219,696.90 and 87,581.98 is: 120,862.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,201.82 : 219,696.90 = 87,581.98 : x
  2. Step 2: Convert to fraction form
    159,201.82/219,696.90 = 87,581.98/x
  3. Step 3: Cross multiply
    159,201.82x = 219,696.90 × 87,581.98
  4. Step 4: Simplify right side
    159,201.82x = 19,241,489,501.86
  5. Step 5: Solve for x
    x = 19,241,489,501.86/159,201.82
  6. Step 6: Final answer
    x = 120,862.25

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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.