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Finding the Fourth Proportional to 158,680.52, 218,971.86 and 87,059.06

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Solution

The fourth proportional to 158,680.52, 218,971.86 and 87,059.06 is: 120,137.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,680.52 : 218,971.86 = 87,059.06 : x
  2. Step 2: Convert to fraction form
    158,680.52/218,971.86 = 87,059.06/x
  3. Step 3: Cross multiply
    158,680.52x = 218,971.86 × 87,059.06
  4. Step 4: Simplify right side
    158,680.52x = 19,063,484,298.05
  5. Step 5: Solve for x
    x = 19,063,484,298.05/158,680.52
  6. Step 6: Final answer
    x = 120,137.52

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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.