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Finding the Fourth Proportional to 52,771.94, 72,821.94 and 28,898.90

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Solution

The fourth proportional to 52,771.94, 72,821.94 and 28,898.90 is: 39,878.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,771.94 : 72,821.94 = 28,898.90 : x
  2. Step 2: Convert to fraction form
    52,771.94/72,821.94 = 28,898.90/x
  3. Step 3: Cross multiply
    52,771.94x = 72,821.94 × 28,898.90
  4. Step 4: Simplify right side
    52,771.94x = 2,104,473,961.87
  5. Step 5: Solve for x
    x = 2,104,473,961.87/52,771.94
  6. Step 6: Final answer
    x = 39,878.65

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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.