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Finding the Fourth Proportional to 129,139.79, 193,720.82 and 35,645.54

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Solution

The fourth proportional to 129,139.79, 193,720.82 and 35,645.54 is: 53,471.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,139.79 : 193,720.82 = 35,645.54 : x
  2. Step 2: Convert to fraction form
    129,139.79/193,720.82 = 35,645.54/x
  3. Step 3: Cross multiply
    129,139.79x = 193,720.82 × 35,645.54
  4. Step 4: Simplify right side
    129,139.79x = 6,905,282,091.31
  5. Step 5: Solve for x
    x = 6,905,282,091.31/129,139.79
  6. Step 6: Final answer
    x = 53,471.38

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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.