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Finding the Fourth Proportional to 52,407.73, 78,643.80 and 20,812.26

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Solution

The fourth proportional to 52,407.73, 78,643.80 and 20,812.26 is: 31,231.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,407.73 : 78,643.80 = 20,812.26 : x
  2. Step 2: Convert to fraction form
    52,407.73/78,643.80 = 20,812.26/x
  3. Step 3: Cross multiply
    52,407.73x = 78,643.80 × 20,812.26
  4. Step 4: Simplify right side
    52,407.73x = 1,636,755,212.99
  5. Step 5: Solve for x
    x = 1,636,755,212.99/52,407.73
  6. Step 6: Final answer
    x = 31,231.18

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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.