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Finding the Fourth Proportional to 52,722.78, 72,758.62 and 28,849.45

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Solution

The fourth proportional to 52,722.78, 72,758.62 and 28,849.45 is: 39,812.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,722.78 : 72,758.62 = 28,849.45 : x
  2. Step 2: Convert to fraction form
    52,722.78/72,758.62 = 28,849.45/x
  3. Step 3: Cross multiply
    52,722.78x = 72,758.62 × 28,849.45
  4. Step 4: Simplify right side
    52,722.78x = 2,099,046,169.76
  5. Step 5: Solve for x
    x = 2,099,046,169.76/52,722.78
  6. Step 6: Final answer
    x = 39,812.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.