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Finding the Fourth Proportional to 52,411.73, 78,649.80 and 20,816.26

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Solution

The fourth proportional to 52,411.73, 78,649.80 and 20,816.26 is: 31,237.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,411.73 : 78,649.80 = 20,816.26 : x
  2. Step 2: Convert to fraction form
    52,411.73/78,649.80 = 20,816.26/x
  3. Step 3: Cross multiply
    52,411.73x = 78,649.80 × 20,816.26
  4. Step 4: Simplify right side
    52,411.73x = 1,637,194,685.75
  5. Step 5: Solve for x
    x = 1,637,194,685.75/52,411.73
  6. Step 6: Final answer
    x = 31,237.18

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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.