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Finding the Fourth Proportional to 202,838.78, 304,274.58 and 69,719.13

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Solution

The fourth proportional to 202,838.78, 304,274.58 and 69,719.13 is: 104,584.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,838.78 : 304,274.58 = 69,719.13 : x
  2. Step 2: Convert to fraction form
    202,838.78/304,274.58 = 69,719.13/x
  3. Step 3: Cross multiply
    202,838.78x = 304,274.58 × 69,719.13
  4. Step 4: Simplify right side
    202,838.78x = 21,213,758,737.27
  5. Step 5: Solve for x
    x = 21,213,758,737.27/202,838.78
  6. Step 6: Final answer
    x = 104,584.33

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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.