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Finding the Fourth Proportional to 84,359.64, 126,548.10 and 31,813.32

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Solution

The fourth proportional to 84,359.64, 126,548.10 and 31,813.32 is: 47,723.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,359.64 : 126,548.10 = 31,813.32 : x
  2. Step 2: Convert to fraction form
    84,359.64/126,548.10 = 31,813.32/x
  3. Step 3: Cross multiply
    84,359.64x = 126,548.10 × 31,813.32
  4. Step 4: Simplify right side
    84,359.64x = 4,025,915,200.69
  5. Step 5: Solve for x
    x = 4,025,915,200.69/84,359.64
  6. Step 6: Final answer
    x = 47,723.24

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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.