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Finding the Fourth Proportional to 84,005.40, 126,008.10 and 83,422.20

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Solution

The fourth proportional to 84,005.40, 126,008.10 and 83,422.20 is: 125,133.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,005.40 : 126,008.10 = 83,422.20 : x
  2. Step 2: Convert to fraction form
    84,005.40/126,008.10 = 83,422.20/x
  3. Step 3: Cross multiply
    84,005.40x = 126,008.10 × 83,422.20
  4. Step 4: Simplify right side
    84,005.40x = 10,511,872,919.82
  5. Step 5: Solve for x
    x = 10,511,872,919.82/84,005.40
  6. Step 6: Final answer
    x = 125,133.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.