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Finding the Fourth Proportional to 158,722.41, 219,042.50 and 87,103.02

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Solution

The fourth proportional to 158,722.41, 219,042.50 and 87,103.02 is: 120,205.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,722.41 : 219,042.50 = 87,103.02 : x
  2. Step 2: Convert to fraction form
    158,722.41/219,042.50 = 87,103.02/x
  3. Step 3: Cross multiply
    158,722.41x = 219,042.50 × 87,103.02
  4. Step 4: Simplify right side
    158,722.41x = 19,079,263,258.35
  5. Step 5: Solve for x
    x = 19,079,263,258.35/158,722.41
  6. Step 6: Final answer
    x = 120,205.23

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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.