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Finding the Fourth Proportional to 275,158.89, 412,738.88 and 75,482.01

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Solution

The fourth proportional to 275,158.89, 412,738.88 and 75,482.01 is: 113,223.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,158.89 : 412,738.88 = 75,482.01 : x
  2. Step 2: Convert to fraction form
    275,158.89/412,738.88 = 75,482.01/x
  3. Step 3: Cross multiply
    275,158.89x = 412,738.88 × 75,482.01
  4. Step 4: Simplify right side
    275,158.89x = 31,154,359,890.14
  5. Step 5: Solve for x
    x = 31,154,359,890.14/275,158.89
  6. Step 6: Final answer
    x = 113,223.16

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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.