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Finding the Fourth Proportional to 81,496.80, 112,489.48 and 53,206.72

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Solution

The fourth proportional to 81,496.80, 112,489.48 and 53,206.72 is: 73,440.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,496.80 : 112,489.48 = 53,206.72 : x
  2. Step 2: Convert to fraction form
    81,496.80/112,489.48 = 53,206.72/x
  3. Step 3: Cross multiply
    81,496.80x = 112,489.48 × 53,206.72
  4. Step 4: Simplify right side
    81,496.80x = 5,985,196,265.31
  5. Step 5: Solve for x
    x = 5,985,196,265.31/81,496.80
  6. Step 6: Final answer
    x = 73,440.87

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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.