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Finding the Fourth Proportional to 201,465.65, 278,042.99 and 115,436.04

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Solution

The fourth proportional to 201,465.65, 278,042.99 and 115,436.04 is: 159,313.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,465.65 : 278,042.99 = 115,436.04 : x
  2. Step 2: Convert to fraction form
    201,465.65/278,042.99 = 115,436.04/x
  3. Step 3: Cross multiply
    201,465.65x = 278,042.99 × 115,436.04
  4. Step 4: Simplify right side
    201,465.65x = 32,096,181,138.18
  5. Step 5: Solve for x
    x = 32,096,181,138.18/201,465.65
  6. Step 6: Final answer
    x = 159,313.42

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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.