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Finding the Fourth Proportional to 57,781.25, 86,669.04 and 22,259.51

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Solution

The fourth proportional to 57,781.25, 86,669.04 and 22,259.51 is: 33,388.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,781.25 : 86,669.04 = 22,259.51 : x
  2. Step 2: Convert to fraction form
    57,781.25/86,669.04 = 22,259.51/x
  3. Step 3: Cross multiply
    57,781.25x = 86,669.04 × 22,259.51
  4. Step 4: Simplify right side
    57,781.25x = 1,929,210,362.57
  5. Step 5: Solve for x
    x = 1,929,210,362.57/57,781.25
  6. Step 6: Final answer
    x = 33,388.17

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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.