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Finding the Fourth Proportional to 202,097.72, 278,890.22 and 111,451.10

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Solution

The fourth proportional to 202,097.72, 278,890.22 and 111,451.10 is: 153,799.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,097.72 : 278,890.22 = 111,451.10 : x
  2. Step 2: Convert to fraction form
    202,097.72/278,890.22 = 111,451.10/x
  3. Step 3: Cross multiply
    202,097.72x = 278,890.22 × 111,451.10
  4. Step 4: Simplify right side
    202,097.72x = 31,082,621,798.24
  5. Step 5: Solve for x
    x = 31,082,621,798.24/202,097.72
  6. Step 6: Final answer
    x = 153,799.96

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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.