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Finding the Fourth Proportional to 159,344.76, 219,894.57 and 87,726

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Solution

The fourth proportional to 159,344.76, 219,894.57 and 87,726 is: 121,061.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,344.76 : 219,894.57 = 87,726 : x
  2. Step 2: Convert to fraction form
    159,344.76/219,894.57 = 87,726/x
  3. Step 3: Cross multiply
    159,344.76x = 219,894.57 × 87,726
  4. Step 4: Simplify right side
    159,344.76x = 19,290,471,047.82
  5. Step 5: Solve for x
    x = 19,290,471,047.82/159,344.76
  6. Step 6: Final answer
    x = 121,061.22

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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.