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Finding the Fourth Proportional to 202,137.81, 278,956.89 and 110,262.12

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Solution

The fourth proportional to 202,137.81, 278,956.89 and 110,262.12 is: 152,165.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,137.81 : 278,956.89 = 110,262.12 : x
  2. Step 2: Convert to fraction form
    202,137.81/278,956.89 = 110,262.12/x
  3. Step 3: Cross multiply
    202,137.81x = 278,956.89 × 110,262.12
  4. Step 4: Simplify right side
    202,137.81x = 30,758,378,080.01
  5. Step 5: Solve for x
    x = 30,758,378,080.01/202,137.81
  6. Step 6: Final answer
    x = 152,165.39

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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.