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Finding the Fourth Proportional to 73,821.16, 101,871.78 and 40,287.40

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Solution

The fourth proportional to 73,821.16, 101,871.78 and 40,287.40 is: 55,595.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,821.16 : 101,871.78 = 40,287.40 : x
  2. Step 2: Convert to fraction form
    73,821.16/101,871.78 = 40,287.40/x
  3. Step 3: Cross multiply
    73,821.16x = 101,871.78 × 40,287.40
  4. Step 4: Simplify right side
    73,821.16x = 4,104,149,149.57
  5. Step 5: Solve for x
    x = 4,104,149,149.57/73,821.16
  6. Step 6: Final answer
    x = 55,595.84

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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.