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Finding the Fourth Proportional to 100,040, 138,057.76 and 60,298.56

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Solution

The fourth proportional to 100,040, 138,057.76 and 60,298.56 is: 83,213.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,040 : 138,057.76 = 60,298.56 : x
  2. Step 2: Convert to fraction form
    100,040/138,057.76 = 60,298.56/x
  3. Step 3: Cross multiply
    100,040x = 138,057.76 × 60,298.56
  4. Step 4: Simplify right side
    100,040x = 8,324,684,124.83
  5. Step 5: Solve for x
    x = 8,324,684,124.83/100,040
  6. Step 6: Final answer
    x = 83,213.56

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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.