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Finding the Fourth Proportional to 76,681.73, 115,023.32 and 47,839.11

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Solution

The fourth proportional to 76,681.73, 115,023.32 and 47,839.11 is: 71,759.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,681.73 : 115,023.32 = 47,839.11 : x
  2. Step 2: Convert to fraction form
    76,681.73/115,023.32 = 47,839.11/x
  3. Step 3: Cross multiply
    76,681.73x = 115,023.32 × 47,839.11
  4. Step 4: Simplify right side
    76,681.73x = 5,502,613,258.05
  5. Step 5: Solve for x
    x = 5,502,613,258.05/76,681.73
  6. Step 6: Final answer
    x = 71,759.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.