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Finding the Fourth Proportional to 212,769.70, 318,883.20 and 112,977.70

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Solution

The fourth proportional to 212,769.70, 318,883.20 and 112,977.70 is: 169,322.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,769.70 : 318,883.20 = 112,977.70 : x
  2. Step 2: Convert to fraction form
    212,769.70/318,883.20 = 112,977.70/x
  3. Step 3: Cross multiply
    212,769.70x = 318,883.20 × 112,977.70
  4. Step 4: Simplify right side
    212,769.70x = 36,026,690,504.64
  5. Step 5: Solve for x
    x = 36,026,690,504.64/212,769.70
  6. Step 6: Final answer
    x = 169,322.47

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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.