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Finding the Fourth Proportional to 100,011.12, 138,015 and 55,299.12

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Solution

The fourth proportional to 100,011.12, 138,015 and 55,299.12 is: 76,312.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,011.12 : 138,015 = 55,299.12 : x
  2. Step 2: Convert to fraction form
    100,011.12/138,015 = 55,299.12/x
  3. Step 3: Cross multiply
    100,011.12x = 138,015 × 55,299.12
  4. Step 4: Simplify right side
    100,011.12x = 7,632,108,046.80
  5. Step 5: Solve for x
    x = 7,632,108,046.80/100,011.12
  6. Step 6: Final answer
    x = 76,312.59

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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.