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Finding the Fourth Proportional to 72,986, 100,720.80 and 39,452

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Solution

The fourth proportional to 72,986, 100,720.80 and 39,452 is: 54,443.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,986 : 100,720.80 = 39,452 : x
  2. Step 2: Convert to fraction form
    72,986/100,720.80 = 39,452/x
  3. Step 3: Cross multiply
    72,986x = 100,720.80 × 39,452
  4. Step 4: Simplify right side
    72,986x = 3,973,637,001.60
  5. Step 5: Solve for x
    x = 3,973,637,001.60/72,986
  6. Step 6: Final answer
    x = 54,443.82

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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.