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Finding the Fourth Proportional to 52,152.36, 78,228 and 12,709.68

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Solution

The fourth proportional to 52,152.36, 78,228 and 12,709.68 is: 19,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,152.36 : 78,228 = 12,709.68 : x
  2. Step 2: Convert to fraction form
    52,152.36/78,228 = 12,709.68/x
  3. Step 3: Cross multiply
    52,152.36x = 78,228 × 12,709.68
  4. Step 4: Simplify right side
    52,152.36x = 994,252,847.04
  5. Step 5: Solve for x
    x = 994,252,847.04/52,152.36
  6. Step 6: Final answer
    x = 19,064.39

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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.