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Finding the Fourth Proportional to 192,509.84, 288,731.64 and 52,279.76

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Solution

The fourth proportional to 192,509.84, 288,731.64 and 52,279.76 is: 78,410.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,509.84 : 288,731.64 = 52,279.76 : x
  2. Step 2: Convert to fraction form
    192,509.84/288,731.64 = 52,279.76/x
  3. Step 3: Cross multiply
    192,509.84x = 288,731.64 × 52,279.76
  4. Step 4: Simplify right side
    192,509.84x = 15,094,820,843.61
  5. Step 5: Solve for x
    x = 15,094,820,843.61/192,509.84
  6. Step 6: Final answer
    x = 78,410.65

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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.