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Finding the Fourth Proportional to 52,508.80, 78,814.40 and 26,243.20

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Solution

The fourth proportional to 52,508.80, 78,814.40 and 26,243.20 is: 39,390.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,508.80 : 78,814.40 = 26,243.20 : x
  2. Step 2: Convert to fraction form
    52,508.80/78,814.40 = 26,243.20/x
  3. Step 3: Cross multiply
    52,508.80x = 78,814.40 × 26,243.20
  4. Step 4: Simplify right side
    52,508.80x = 2,068,342,062.08
  5. Step 5: Solve for x
    x = 2,068,342,062.08/52,508.80
  6. Step 6: Final answer
    x = 39,390.39

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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.