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Finding the Fourth Proportional to 100,660.64, 138,911.28 and 55,341.48

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Solution

The fourth proportional to 100,660.64, 138,911.28 and 55,341.48 is: 76,371.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,660.64 : 138,911.28 = 55,341.48 : x
  2. Step 2: Convert to fraction form
    100,660.64/138,911.28 = 55,341.48/x
  3. Step 3: Cross multiply
    100,660.64x = 138,911.28 × 55,341.48
  4. Step 4: Simplify right side
    100,660.64x = 7,687,555,823.89
  5. Step 5: Solve for x
    x = 7,687,555,823.89/100,660.64
  6. Step 6: Final answer
    x = 76,371.02

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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.