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Finding the Fourth Proportional to 100,378.42, 138,531.11 and 55,065.24

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Solution

The fourth proportional to 100,378.42, 138,531.11 and 55,065.24 is: 75,994.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,378.42 : 138,531.11 = 55,065.24 : x
  2. Step 2: Convert to fraction form
    100,378.42/138,531.11 = 55,065.24/x
  3. Step 3: Cross multiply
    100,378.42x = 138,531.11 × 55,065.24
  4. Step 4: Simplify right side
    100,378.42x = 7,628,248,750.78
  5. Step 5: Solve for x
    x = 7,628,248,750.78/100,378.42
  6. Step 6: Final answer
    x = 75,994.91

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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.