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Finding the Fourth Proportional to 73,677.25, 101,674.61 and 40,143.25

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Solution

The fourth proportional to 73,677.25, 101,674.61 and 40,143.25 is: 55,397.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,677.25 : 101,674.61 = 40,143.25 : x
  2. Step 2: Convert to fraction form
    73,677.25/101,674.61 = 40,143.25/x
  3. Step 3: Cross multiply
    73,677.25x = 101,674.61 × 40,143.25
  4. Step 4: Simplify right side
    73,677.25x = 4,081,549,287.88
  5. Step 5: Solve for x
    x = 4,081,549,287.88/73,677.25
  6. Step 6: Final answer
    x = 55,397.69

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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.