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Finding the Fourth Proportional to 100,263.25, 138,363.29 and 59,978.71

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Solution

The fourth proportional to 100,263.25, 138,363.29 and 59,978.71 is: 82,770.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,263.25 : 138,363.29 = 59,978.71 : x
  2. Step 2: Convert to fraction form
    100,263.25/138,363.29 = 59,978.71/x
  3. Step 3: Cross multiply
    100,263.25x = 138,363.29 × 59,978.71
  4. Step 4: Simplify right side
    100,263.25x = 8,298,851,645.56
  5. Step 5: Solve for x
    x = 8,298,851,645.56/100,263.25
  6. Step 6: Final answer
    x = 82,770.62

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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.