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Finding the Fourth Proportional to 91,170, 136,819.80 and 35,766

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Solution

The fourth proportional to 91,170, 136,819.80 and 35,766 is: 53,674.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,170 : 136,819.80 = 35,766 : x
  2. Step 2: Convert to fraction form
    91,170/136,819.80 = 35,766/x
  3. Step 3: Cross multiply
    91,170x = 136,819.80 × 35,766
  4. Step 4: Simplify right side
    91,170x = 4,893,496,966.80
  5. Step 5: Solve for x
    x = 4,893,496,966.80/91,170
  6. Step 6: Final answer
    x = 53,674.42

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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.