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Finding the Fourth Proportional to 52,083.54, 78,136.11 and 20,921.22

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Solution

The fourth proportional to 52,083.54, 78,136.11 and 20,921.22 is: 31,386.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,083.54 : 78,136.11 = 20,921.22 : x
  2. Step 2: Convert to fraction form
    52,083.54/78,136.11 = 20,921.22/x
  3. Step 3: Cross multiply
    52,083.54x = 78,136.11 × 20,921.22
  4. Step 4: Simplify right side
    52,083.54x = 1,634,702,747.25
  5. Step 5: Solve for x
    x = 1,634,702,747.25/52,083.54
  6. Step 6: Final answer
    x = 31,386.17

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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.