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Finding the Fourth Proportional to 158,577.21, 218,951.33 and 102,087

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Solution

The fourth proportional to 158,577.21, 218,951.33 and 102,087 is: 140,953.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,577.21 : 218,951.33 = 102,087 : x
  2. Step 2: Convert to fraction form
    158,577.21/218,951.33 = 102,087/x
  3. Step 3: Cross multiply
    158,577.21x = 218,951.33 × 102,087
  4. Step 4: Simplify right side
    158,577.21x = 22,352,083,915.28
  5. Step 5: Solve for x
    x = 22,352,083,915.28/158,577.21
  6. Step 6: Final answer
    x = 140,953.95

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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.