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Finding the Fourth Proportional to 84,575.40, 126,807.92 and 27,642.30

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Solution

The fourth proportional to 84,575.40, 126,807.92 and 27,642.30 is: 41,445.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,575.40 : 126,807.92 = 27,642.30 : x
  2. Step 2: Convert to fraction form
    84,575.40/126,807.92 = 27,642.30/x
  3. Step 3: Cross multiply
    84,575.40x = 126,807.92 × 27,642.30
  4. Step 4: Simplify right side
    84,575.40x = 3,505,262,567.02
  5. Step 5: Solve for x
    x = 3,505,262,567.02/84,575.40
  6. Step 6: Final answer
    x = 41,445.42

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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.