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Finding the Fourth Proportional to 202,891.42, 304,391.81 and 69,774.20

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Solution

The fourth proportional to 202,891.42, 304,391.81 and 69,774.20 is: 104,680.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,891.42 : 304,391.81 = 69,774.20 : x
  2. Step 2: Convert to fraction form
    202,891.42/304,391.81 = 69,774.20/x
  3. Step 3: Cross multiply
    202,891.42x = 304,391.81 × 69,774.20
  4. Step 4: Simplify right side
    202,891.42x = 21,238,695,029.30
  5. Step 5: Solve for x
    x = 21,238,695,029.30/202,891.42
  6. Step 6: Final answer
    x = 104,680.10

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1.5x scale

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.