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Finding the Fourth Proportional to 81,041.80, 111,715.14 and 63,105.16

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Solution

The fourth proportional to 81,041.80, 111,715.14 and 63,105.16 is: 86,989.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,041.80 : 111,715.14 = 63,105.16 : x
  2. Step 2: Convert to fraction form
    81,041.80/111,715.14 = 63,105.16/x
  3. Step 3: Cross multiply
    81,041.80x = 111,715.14 × 63,105.16
  4. Step 4: Simplify right side
    81,041.80x = 7,049,801,784.12
  5. Step 5: Solve for x
    x = 7,049,801,784.12/81,041.80
  6. Step 6: Final answer
    x = 86,989.70

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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.