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Finding the Fourth Proportional to 102,901.30, 154,121.55 and 84,469.30

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Solution

The fourth proportional to 102,901.30, 154,121.55 and 84,469.30 is: 126,514.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,901.30 : 154,121.55 = 84,469.30 : x
  2. Step 2: Convert to fraction form
    102,901.30/154,121.55 = 84,469.30/x
  3. Step 3: Cross multiply
    102,901.30x = 154,121.55 × 84,469.30
  4. Step 4: Simplify right side
    102,901.30x = 13,018,539,443.42
  5. Step 5: Solve for x
    x = 13,018,539,443.42/102,901.30
  6. Step 6: Final answer
    x = 126,514.82

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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.