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Finding the Fourth Proportional to 100,346.40, 138,479.40 and 55,023.66

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Solution

The fourth proportional to 100,346.40, 138,479.40 and 55,023.66 is: 75,933.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,346.40 : 138,479.40 = 55,023.66 : x
  2. Step 2: Convert to fraction form
    100,346.40/138,479.40 = 55,023.66/x
  3. Step 3: Cross multiply
    100,346.40x = 138,479.40 × 55,023.66
  4. Step 4: Simplify right side
    100,346.40x = 7,619,643,422.60
  5. Step 5: Solve for x
    x = 7,619,643,422.60/100,346.40
  6. Step 6: Final answer
    x = 75,933.40

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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.