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Finding the Fourth Proportional to 78,462.57, 117,749.43 and 34,102.29

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Solution

The fourth proportional to 78,462.57, 117,749.43 and 34,102.29 is: 51,177.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,462.57 : 117,749.43 = 34,102.29 : x
  2. Step 2: Convert to fraction form
    78,462.57/117,749.43 = 34,102.29/x
  3. Step 3: Cross multiply
    78,462.57x = 117,749.43 × 34,102.29
  4. Step 4: Simplify right side
    78,462.57x = 4,015,525,209.19
  5. Step 5: Solve for x
    x = 4,015,525,209.19/78,462.57
  6. Step 6: Final answer
    x = 51,177.59

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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.