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Finding the Fourth Proportional to 147,907.70, 221,861.55 and 91,811.15

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Solution

The fourth proportional to 147,907.70, 221,861.55 and 91,811.15 is: 137,716.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,907.70 : 221,861.55 = 91,811.15 : x
  2. Step 2: Convert to fraction form
    147,907.70/221,861.55 = 91,811.15/x
  3. Step 3: Cross multiply
    147,907.70x = 221,861.55 × 91,811.15
  4. Step 4: Simplify right side
    147,907.70x = 20,369,364,046.28
  5. Step 5: Solve for x
    x = 20,369,364,046.28/147,907.70
  6. Step 6: Final answer
    x = 137,716.73

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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.