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Finding the Fourth Proportional to 159,342.90, 219,894.66 and 87,724.50

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Solution

The fourth proportional to 159,342.90, 219,894.66 and 87,724.50 is: 121,060.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,342.90 : 219,894.66 = 87,724.50 : x
  2. Step 2: Convert to fraction form
    159,342.90/219,894.66 = 87,724.50/x
  3. Step 3: Cross multiply
    159,342.90x = 219,894.66 × 87,724.50
  4. Step 4: Simplify right side
    159,342.90x = 19,290,149,101.17
  5. Step 5: Solve for x
    x = 19,290,149,101.17/159,342.90
  6. Step 6: Final answer
    x = 121,060.61

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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.