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Finding the Fourth Proportional to 52,508.70, 78,774.80 and 19,228.10

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Solution

The fourth proportional to 52,508.70, 78,774.80 and 19,228.10 is: 28,846.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,508.70 : 78,774.80 = 19,228.10 : x
  2. Step 2: Convert to fraction form
    52,508.70/78,774.80 = 19,228.10/x
  3. Step 3: Cross multiply
    52,508.70x = 78,774.80 × 19,228.10
  4. Step 4: Simplify right side
    52,508.70x = 1,514,689,241.87
  5. Step 5: Solve for x
    x = 1,514,689,241.87/52,508.70
  6. Step 6: Final answer
    x = 28,846.44

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1.5x scale

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.