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Finding the Fourth Proportional to 159,342.81, 219,894.54 and 87,724.02

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Solution

The fourth proportional to 159,342.81, 219,894.54 and 87,724.02 is: 121,059.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,342.81 : 219,894.54 = 87,724.02 : x
  2. Step 2: Convert to fraction form
    159,342.81/219,894.54 = 87,724.02/x
  3. Step 3: Cross multiply
    159,342.81x = 219,894.54 × 87,724.02
  4. Step 4: Simplify right side
    159,342.81x = 19,290,033,024.85
  5. Step 5: Solve for x
    x = 19,290,033,024.85/159,342.81
  6. Step 6: Final answer
    x = 121,059.95

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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.