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Finding the Fourth Proportional to 81,864.04, 112,482.81 and 65,067.88

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Solution

The fourth proportional to 81,864.04, 112,482.81 and 65,067.88 is: 89,404.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,864.04 : 112,482.81 = 65,067.88 : x
  2. Step 2: Convert to fraction form
    81,864.04/112,482.81 = 65,067.88/x
  3. Step 3: Cross multiply
    81,864.04x = 112,482.81 × 65,067.88
  4. Step 4: Simplify right side
    81,864.04x = 7,319,017,983.14
  5. Step 5: Solve for x
    x = 7,319,017,983.14/81,864.04
  6. Step 6: Final answer
    x = 89,404.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.