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Finding the Fourth Proportional to 81,703.56, 112,675.92 and 52,993.20

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Solution

The fourth proportional to 81,703.56, 112,675.92 and 52,993.20 is: 73,081.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,703.56 : 112,675.92 = 52,993.20 : x
  2. Step 2: Convert to fraction form
    81,703.56/112,675.92 = 52,993.20/x
  3. Step 3: Cross multiply
    81,703.56x = 112,675.92 × 52,993.20
  4. Step 4: Simplify right side
    81,703.56x = 5,971,057,563.74
  5. Step 5: Solve for x
    x = 5,971,057,563.74/81,703.56
  6. Step 6: Final answer
    x = 73,081.98

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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.