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Finding the Fourth Proportional to 83,614.38, 115,383.82 and 47,808.34

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Solution

The fourth proportional to 83,614.38, 115,383.82 and 47,808.34 is: 65,973.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,614.38 : 115,383.82 = 47,808.34 : x
  2. Step 2: Convert to fraction form
    83,614.38/115,383.82 = 47,808.34/x
  3. Step 3: Cross multiply
    83,614.38x = 115,383.82 × 47,808.34
  4. Step 4: Simplify right side
    83,614.38x = 5,516,308,897.06
  5. Step 5: Solve for x
    x = 5,516,308,897.06/83,614.38
  6. Step 6: Final answer
    x = 65,973.21

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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.