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Finding the Fourth Proportional to 52,407.90, 78,644.25 and 21,243.42

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Solution

The fourth proportional to 52,407.90, 78,644.25 and 21,243.42 is: 31,878.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,407.90 : 78,644.25 = 21,243.42 : x
  2. Step 2: Convert to fraction form
    52,407.90/78,644.25 = 21,243.42/x
  3. Step 3: Cross multiply
    52,407.90x = 78,644.25 × 21,243.42
  4. Step 4: Simplify right side
    52,407.90x = 1,670,672,833.34
  5. Step 5: Solve for x
    x = 1,670,672,833.34/52,407.90
  6. Step 6: Final answer
    x = 31,878.26

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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.