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Finding the Fourth Proportional to 91,415.80, 136,929.30 and 75,863.80

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Solution

The fourth proportional to 91,415.80, 136,929.30 and 75,863.80 is: 113,634.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,415.80 : 136,929.30 = 75,863.80 : x
  2. Step 2: Convert to fraction form
    91,415.80/136,929.30 = 75,863.80/x
  3. Step 3: Cross multiply
    91,415.80x = 136,929.30 × 75,863.80
  4. Step 4: Simplify right side
    91,415.80x = 10,387,977,029.34
  5. Step 5: Solve for x
    x = 10,387,977,029.34/91,415.80
  6. Step 6: Final answer
    x = 113,634.37

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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.