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Finding the Fourth Proportional to 100,080.64, 138,095.04 and 55,360

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Solution

The fourth proportional to 100,080.64, 138,095.04 and 55,360 is: 76,387.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,080.64 : 138,095.04 = 55,360 : x
  2. Step 2: Convert to fraction form
    100,080.64/138,095.04 = 55,360/x
  3. Step 3: Cross multiply
    100,080.64x = 138,095.04 × 55,360
  4. Step 4: Simplify right side
    100,080.64x = 7,644,941,414.40
  5. Step 5: Solve for x
    x = 7,644,941,414.40/100,080.64
  6. Step 6: Final answer
    x = 76,387.82

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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.