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Finding the Fourth Proportional to 70,781.30, 97,675.71 and 38,949.38

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Solution

The fourth proportional to 70,781.30, 97,675.71 and 38,949.38 is: 53,748.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,781.30 : 97,675.71 = 38,949.38 : x
  2. Step 2: Convert to fraction form
    70,781.30/97,675.71 = 38,949.38/x
  3. Step 3: Cross multiply
    70,781.30x = 97,675.71 × 38,949.38
  4. Step 4: Simplify right side
    70,781.30x = 3,804,408,345.56
  5. Step 5: Solve for x
    x = 3,804,408,345.56/70,781.30
  6. Step 6: Final answer
    x = 53,748.78

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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.