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Finding the Fourth Proportional to 100,384.85, 138,531.80 and 55,063.16

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Solution

The fourth proportional to 100,384.85, 138,531.80 and 55,063.16 is: 75,987.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,384.85 : 138,531.80 = 55,063.16 : x
  2. Step 2: Convert to fraction form
    100,384.85/138,531.80 = 55,063.16/x
  3. Step 3: Cross multiply
    100,384.85x = 138,531.80 × 55,063.16
  4. Step 4: Simplify right side
    100,384.85x = 7,627,998,632.98
  5. Step 5: Solve for x
    x = 7,627,998,632.98/100,384.85
  6. Step 6: Final answer
    x = 75,987.55

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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.