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Finding the Fourth Proportional to 100,265.96, 138,353.84 and 59,965.01

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Solution

The fourth proportional to 100,265.96, 138,353.84 and 59,965.01 is: 82,743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,265.96 : 138,353.84 = 59,965.01 : x
  2. Step 2: Convert to fraction form
    100,265.96/138,353.84 = 59,965.01/x
  3. Step 3: Cross multiply
    100,265.96x = 138,353.84 × 59,965.01
  4. Step 4: Simplify right side
    100,265.96x = 8,296,388,407.54
  5. Step 5: Solve for x
    x = 8,296,388,407.54/100,265.96
  6. Step 6: Final answer
    x = 82,743.82

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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.