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Finding the Fourth Proportional to 138,120.78, 190,623.50 and 77,693.96

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Solution

The fourth proportional to 138,120.78, 190,623.50 and 77,693.96 is: 107,227.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,120.78 : 190,623.50 = 77,693.96 : x
  2. Step 2: Convert to fraction form
    138,120.78/190,623.50 = 77,693.96/x
  3. Step 3: Cross multiply
    138,120.78x = 190,623.50 × 77,693.96
  4. Step 4: Simplify right side
    138,120.78x = 14,810,294,584.06
  5. Step 5: Solve for x
    x = 14,810,294,584.06/138,120.78
  6. Step 6: Final answer
    x = 107,227.13

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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.