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Finding the Fourth Proportional to 202,352.70, 279,247.14 and 111,708.78

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Solution

The fourth proportional to 202,352.70, 279,247.14 and 111,708.78 is: 154,158.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,352.70 : 279,247.14 = 111,708.78 : x
  2. Step 2: Convert to fraction form
    202,352.70/279,247.14 = 111,708.78/x
  3. Step 3: Cross multiply
    202,352.70x = 279,247.14 × 111,708.78
  4. Step 4: Simplify right side
    202,352.70x = 31,194,357,327.89
  5. Step 5: Solve for x
    x = 31,194,357,327.89/202,352.70
  6. Step 6: Final answer
    x = 154,158.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.