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Finding the Fourth Proportional to 80,969.51, 111,825.05 and 61,643.12

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Solution

The fourth proportional to 80,969.51, 111,825.05 and 61,643.12 is: 85,133.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,969.51 : 111,825.05 = 61,643.12 : x
  2. Step 2: Convert to fraction form
    80,969.51/111,825.05 = 61,643.12/x
  3. Step 3: Cross multiply
    80,969.51x = 111,825.05 × 61,643.12
  4. Step 4: Simplify right side
    80,969.51x = 6,893,244,108.82
  5. Step 5: Solve for x
    x = 6,893,244,108.82/80,969.51
  6. Step 6: Final answer
    x = 85,133.83

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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.