Home / 102,077.20-152,897.10-82,394.20

Finding the Fourth Proportional to 102,077.20, 152,897.10 and 82,394.20

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Solution

The fourth proportional to 102,077.20, 152,897.10 and 82,394.20 is: 123,414.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,077.20 : 152,897.10 = 82,394.20 : x
  2. Step 2: Convert to fraction form
    102,077.20/152,897.10 = 82,394.20/x
  3. Step 3: Cross multiply
    102,077.20x = 152,897.10 × 82,394.20
  4. Step 4: Simplify right side
    102,077.20x = 12,597,834,236.82
  5. Step 5: Solve for x
    x = 12,597,834,236.82/102,077.20
  6. Step 6: Final answer
    x = 123,414.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.