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Finding the Fourth Proportional to 141,486.88, 195,247.78 and 77,824.66

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Solution

The fourth proportional to 141,486.88, 195,247.78 and 77,824.66 is: 107,395.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,486.88 : 195,247.78 = 77,824.66 : x
  2. Step 2: Convert to fraction form
    141,486.88/195,247.78 = 77,824.66/x
  3. Step 3: Cross multiply
    141,486.88x = 195,247.78 × 77,824.66
  4. Step 4: Simplify right side
    141,486.88x = 15,195,092,094.25
  5. Step 5: Solve for x
    x = 15,195,092,094.25/141,486.88
  6. Step 6: Final answer
    x = 107,395.77

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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.