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Finding the Fourth Proportional to 201,959.65, 302,938.55 and 52,187.21

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Solution

The fourth proportional to 201,959.65, 302,938.55 and 52,187.21 is: 78,280.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,959.65 : 302,938.55 = 52,187.21 : x
  2. Step 2: Convert to fraction form
    201,959.65/302,938.55 = 52,187.21/x
  3. Step 3: Cross multiply
    201,959.65x = 302,938.55 × 52,187.21
  4. Step 4: Simplify right side
    201,959.65x = 15,809,517,725.95
  5. Step 5: Solve for x
    x = 15,809,517,725.95/201,959.65
  6. Step 6: Final answer
    x = 78,280.58

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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.