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Finding the Fourth Proportional to 73,412, 101,308.68 and 39,878

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Solution

The fourth proportional to 73,412, 101,308.68 and 39,878 is: 55,031.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,412 : 101,308.68 = 39,878 : x
  2. Step 2: Convert to fraction form
    73,412/101,308.68 = 39,878/x
  3. Step 3: Cross multiply
    73,412x = 101,308.68 × 39,878
  4. Step 4: Simplify right side
    73,412x = 4,039,987,541.04
  5. Step 5: Solve for x
    x = 4,039,987,541.04/73,412
  6. Step 6: Final answer
    x = 55,031.71

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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.