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Finding the Fourth Proportional to 115,205.31, 159,013.40 and 75,029.31

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Solution

The fourth proportional to 115,205.31, 159,013.40 and 75,029.31 is: 103,560.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,205.31 : 159,013.40 = 75,029.31 : x
  2. Step 2: Convert to fraction form
    115,205.31/159,013.40 = 75,029.31/x
  3. Step 3: Cross multiply
    115,205.31x = 159,013.40 × 75,029.31
  4. Step 4: Simplify right side
    115,205.31x = 11,930,665,307.61
  5. Step 5: Solve for x
    x = 11,930,665,307.61/115,205.31
  6. Step 6: Final answer
    x = 103,560.03

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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.