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Finding the Fourth Proportional to 100,178.40, 138,236.88 and 59,884.32

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Solution

The fourth proportional to 100,178.40, 138,236.88 and 59,884.32 is: 82,634.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,178.40 : 138,236.88 = 59,884.32 : x
  2. Step 2: Convert to fraction form
    100,178.40/138,236.88 = 59,884.32/x
  3. Step 3: Cross multiply
    100,178.40x = 138,236.88 × 59,884.32
  4. Step 4: Simplify right side
    100,178.40x = 8,278,221,557.72
  5. Step 5: Solve for x
    x = 8,278,221,557.72/100,178.40
  6. Step 6: Final answer
    x = 82,634.80

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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.