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Finding the Fourth Proportional to 80,013.64, 120,008.14 and 27,411.08

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Solution

The fourth proportional to 80,013.64, 120,008.14 and 27,411.08 is: 41,112.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,013.64 : 120,008.14 = 27,411.08 : x
  2. Step 2: Convert to fraction form
    80,013.64/120,008.14 = 27,411.08/x
  3. Step 3: Cross multiply
    80,013.64x = 120,008.14 × 27,411.08
  4. Step 4: Simplify right side
    80,013.64x = 3,289,552,726.19
  5. Step 5: Solve for x
    x = 3,289,552,726.19/80,013.64
  6. Step 6: Final answer
    x = 41,112.40

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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.