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Finding the Fourth Proportional to 201,840, 302,754.24 and 61,578.24

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Solution

The fourth proportional to 201,840, 302,754.24 and 61,578.24 is: 92,365.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,840 : 302,754.24 = 61,578.24 : x
  2. Step 2: Convert to fraction form
    201,840/302,754.24 = 61,578.24/x
  3. Step 3: Cross multiply
    201,840x = 302,754.24 × 61,578.24
  4. Step 4: Simplify right side
    201,840x = 18,643,073,251.74
  5. Step 5: Solve for x
    x = 18,643,073,251.74/201,840
  6. Step 6: Final answer
    x = 92,365.60

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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.