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Finding the Fourth Proportional to 70,930.78, 97,882.62 and 39,099.82

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Solution

The fourth proportional to 70,930.78, 97,882.62 and 39,099.82 is: 53,956.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,930.78 : 97,882.62 = 39,099.82 : x
  2. Step 2: Convert to fraction form
    70,930.78/97,882.62 = 39,099.82/x
  3. Step 3: Cross multiply
    70,930.78x = 97,882.62 × 39,099.82
  4. Step 4: Simplify right side
    70,930.78x = 3,827,192,823.13
  5. Step 5: Solve for x
    x = 3,827,192,823.13/70,930.78
  6. Step 6: Final answer
    x = 53,956.73

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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.