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Finding the Fourth Proportional to 52,068.54, 78,086.80 and 18,784.42

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Solution

The fourth proportional to 52,068.54, 78,086.80 and 18,784.42 is: 28,170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,068.54 : 78,086.80 = 18,784.42 : x
  2. Step 2: Convert to fraction form
    52,068.54/78,086.80 = 18,784.42/x
  3. Step 3: Cross multiply
    52,068.54x = 78,086.80 × 18,784.42
  4. Step 4: Simplify right side
    52,068.54x = 1,466,815,247.66
  5. Step 5: Solve for x
    x = 1,466,815,247.66/52,068.54
  6. Step 6: Final answer
    x = 28,170.85

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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.