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Finding the Fourth Proportional to 100,301.76, 138,367.44 and 84,380.40

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Solution

The fourth proportional to 100,301.76, 138,367.44 and 84,380.40 is: 116,403.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,301.76 : 138,367.44 = 84,380.40 : x
  2. Step 2: Convert to fraction form
    100,301.76/138,367.44 = 84,380.40/x
  3. Step 3: Cross multiply
    100,301.76x = 138,367.44 × 84,380.40
  4. Step 4: Simplify right side
    100,301.76x = 11,675,499,934.18
  5. Step 5: Solve for x
    x = 11,675,499,934.18/100,301.76
  6. Step 6: Final answer
    x = 116,403.74

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1.5x scale

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.