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Finding the Fourth Proportional to 52,285.90, 78,429.10 and 12,843.02

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Solution

The fourth proportional to 52,285.90, 78,429.10 and 12,843.02 is: 19,264.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,285.90 : 78,429.10 = 12,843.02 : x
  2. Step 2: Convert to fraction form
    52,285.90/78,429.10 = 12,843.02/x
  3. Step 3: Cross multiply
    52,285.90x = 78,429.10 × 12,843.02
  4. Step 4: Simplify right side
    52,285.90x = 1,007,266,499.88
  5. Step 5: Solve for x
    x = 1,007,266,499.88/52,285.90
  6. Step 6: Final answer
    x = 19,264.59

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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.