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Finding the Fourth Proportional to 100,069.38, 138,101.87 and 57,641.58

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Solution

The fourth proportional to 100,069.38, 138,101.87 and 57,641.58 is: 79,548.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,069.38 : 138,101.87 = 57,641.58 : x
  2. Step 2: Convert to fraction form
    100,069.38/138,101.87 = 57,641.58/x
  3. Step 3: Cross multiply
    100,069.38x = 138,101.87 × 57,641.58
  4. Step 4: Simplify right side
    100,069.38x = 7,960,409,987.75
  5. Step 5: Solve for x
    x = 7,960,409,987.75/100,069.38
  6. Step 6: Final answer
    x = 79,548.91

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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.