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Finding the Fourth Proportional to 100,102.68, 138,141.71 and 54,780.66

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Solution

The fourth proportional to 100,102.68, 138,141.71 and 54,780.66 is: 75,597.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,102.68 : 138,141.71 = 54,780.66 : x
  2. Step 2: Convert to fraction form
    100,102.68/138,141.71 = 54,780.66/x
  3. Step 3: Cross multiply
    100,102.68x = 138,141.71 × 54,780.66
  4. Step 4: Simplify right side
    100,102.68x = 7,567,494,047.33
  5. Step 5: Solve for x
    x = 7,567,494,047.33/100,102.68
  6. Step 6: Final answer
    x = 75,597.32

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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.