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Finding the Fourth Proportional to 109,103.64, 150,387.48 and 81,463.61

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Solution

The fourth proportional to 109,103.64, 150,387.48 and 81,463.61 is: 112,288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,103.64 : 150,387.48 = 81,463.61 : x
  2. Step 2: Convert to fraction form
    109,103.64/150,387.48 = 81,463.61/x
  3. Step 3: Cross multiply
    109,103.64x = 150,387.48 × 81,463.61
  4. Step 4: Simplify right side
    109,103.64x = 12,251,106,267.67
  5. Step 5: Solve for x
    x = 12,251,106,267.67/109,103.64
  6. Step 6: Final answer
    x = 112,288.70

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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.