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Finding the Fourth Proportional to 201,753.27, 278,452.80 and 153,916.29

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Solution

The fourth proportional to 201,753.27, 278,452.80 and 153,916.29 is: 212,429.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,753.27 : 278,452.80 = 153,916.29 : x
  2. Step 2: Convert to fraction form
    201,753.27/278,452.80 = 153,916.29/x
  3. Step 3: Cross multiply
    201,753.27x = 278,452.80 × 153,916.29
  4. Step 4: Simplify right side
    201,753.27x = 42,858,421,916.11
  5. Step 5: Solve for x
    x = 42,858,421,916.11/201,753.27
  6. Step 6: Final answer
    x = 212,429.87

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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.