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Finding the Fourth Proportional to 201,432.78, 302,155.92 and 61,191

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Solution

The fourth proportional to 201,432.78, 302,155.92 and 61,191 is: 91,788.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,432.78 : 302,155.92 = 61,191 : x
  2. Step 2: Convert to fraction form
    201,432.78/302,155.92 = 61,191/x
  3. Step 3: Cross multiply
    201,432.78x = 302,155.92 × 61,191
  4. Step 4: Simplify right side
    201,432.78x = 18,489,222,900.72
  5. Step 5: Solve for x
    x = 18,489,222,900.72/201,432.78
  6. Step 6: Final answer
    x = 91,788.55

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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.