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Finding the Fourth Proportional to 52,200, 78,311.52 and 19,368

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Solution

The fourth proportional to 52,200, 78,311.52 and 19,368 is: 29,056.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,200 : 78,311.52 = 19,368 : x
  2. Step 2: Convert to fraction form
    52,200/78,311.52 = 19,368/x
  3. Step 3: Cross multiply
    52,200x = 78,311.52 × 19,368
  4. Step 4: Simplify right side
    52,200x = 1,516,737,519.36
  5. Step 5: Solve for x
    x = 1,516,737,519.36/52,200
  6. Step 6: Final answer
    x = 29,056.27

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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.