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Finding the Fourth Proportional to 192,578.64, 288,809.64 and 52,319.04

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Solution

The fourth proportional to 192,578.64, 288,809.64 and 52,319.04 is: 78,462.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,578.64 : 288,809.64 = 52,319.04 : x
  2. Step 2: Convert to fraction form
    192,578.64/288,809.64 = 52,319.04/x
  3. Step 3: Cross multiply
    192,578.64x = 288,809.64 × 52,319.04
  4. Step 4: Simplify right side
    192,578.64x = 15,110,243,107.55
  5. Step 5: Solve for x
    x = 15,110,243,107.55/192,578.64
  6. Step 6: Final answer
    x = 78,462.72

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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.