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Finding the Fourth Proportional to 102,641.88, 141,640.38 and 57,927

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Solution

The fourth proportional to 102,641.88, 141,640.38 and 57,927 is: 79,936.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,641.88 : 141,640.38 = 57,927 : x
  2. Step 2: Convert to fraction form
    102,641.88/141,640.38 = 57,927/x
  3. Step 3: Cross multiply
    102,641.88x = 141,640.38 × 57,927
  4. Step 4: Simplify right side
    102,641.88x = 8,204,802,292.26
  5. Step 5: Solve for x
    x = 8,204,802,292.26/102,641.88
  6. Step 6: Final answer
    x = 79,936.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.