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Finding the Fourth Proportional to 138,144.33, 190,638.87 and 77,715

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Solution

The fourth proportional to 138,144.33, 190,638.87 and 77,715 is: 107,246.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,144.33 : 190,638.87 = 77,715 : x
  2. Step 2: Convert to fraction form
    138,144.33/190,638.87 = 77,715/x
  3. Step 3: Cross multiply
    138,144.33x = 190,638.87 × 77,715
  4. Step 4: Simplify right side
    138,144.33x = 14,815,499,782.05
  5. Step 5: Solve for x
    x = 14,815,499,782.05/138,144.33
  6. Step 6: Final answer
    x = 107,246.53

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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.