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Finding the Fourth Proportional to 143,130.97, 214,696.46 and 54,363.48

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Solution

The fourth proportional to 143,130.97, 214,696.46 and 54,363.48 is: 81,545.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,130.97 : 214,696.46 = 54,363.48 : x
  2. Step 2: Convert to fraction form
    143,130.97/214,696.46 = 54,363.48/x
  3. Step 3: Cross multiply
    143,130.97x = 214,696.46 × 54,363.48
  4. Step 4: Simplify right side
    143,130.97x = 11,671,646,709.28
  5. Step 5: Solve for x
    x = 11,671,646,709.28/143,130.97
  6. Step 6: Final answer
    x = 81,545.22

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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.