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Finding the Fourth Proportional to 147,399.12, 220,941.02 and 76,250.14

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Solution

The fourth proportional to 147,399.12, 220,941.02 and 76,250.14 is: 114,293.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,399.12 : 220,941.02 = 76,250.14 : x
  2. Step 2: Convert to fraction form
    147,399.12/220,941.02 = 76,250.14/x
  3. Step 3: Cross multiply
    147,399.12x = 220,941.02 × 76,250.14
  4. Step 4: Simplify right side
    147,399.12x = 16,846,783,706.74
  5. Step 5: Solve for x
    x = 16,846,783,706.74/147,399.12
  6. Step 6: Final answer
    x = 114,293.65

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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.