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Finding the Fourth Proportional to 159,316.34, 219,856.50 and 87,696

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Solution

The fourth proportional to 159,316.34, 219,856.50 and 87,696 is: 121,020.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,316.34 : 219,856.50 = 87,696 : x
  2. Step 2: Convert to fraction form
    159,316.34/219,856.50 = 87,696/x
  3. Step 3: Cross multiply
    159,316.34x = 219,856.50 × 87,696
  4. Step 4: Simplify right side
    159,316.34x = 19,280,535,624
  5. Step 5: Solve for x
    x = 19,280,535,624/159,316.34
  6. Step 6: Final answer
    x = 121,020.46

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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.