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Finding the Fourth Proportional to 76,959, 106,221.10 and 45,138.15

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Solution

The fourth proportional to 76,959, 106,221.10 and 45,138.15 is: 62,301.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,959 : 106,221.10 = 45,138.15 : x
  2. Step 2: Convert to fraction form
    76,959/106,221.10 = 45,138.15/x
  3. Step 3: Cross multiply
    76,959x = 106,221.10 × 45,138.15
  4. Step 4: Simplify right side
    76,959x = 4,794,623,944.97
  5. Step 5: Solve for x
    x = 4,794,623,944.97/76,959
  6. Step 6: Final answer
    x = 62,301.02

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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.