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Finding the Fourth Proportional to 115,662, 173,294.79 and 77,640.09

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Solution

The fourth proportional to 115,662, 173,294.79 and 77,640.09 is: 116,327.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,662 : 173,294.79 = 77,640.09 : x
  2. Step 2: Convert to fraction form
    115,662/173,294.79 = 77,640.09/x
  3. Step 3: Cross multiply
    115,662x = 173,294.79 × 77,640.09
  4. Step 4: Simplify right side
    115,662x = 13,454,623,092.13
  5. Step 5: Solve for x
    x = 13,454,623,092.13/115,662
  6. Step 6: Final answer
    x = 116,327.08

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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.