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Finding the Fourth Proportional to 138,357.19, 190,930.93 and 77,928.49

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Solution

The fourth proportional to 138,357.19, 190,930.93 and 77,928.49 is: 107,540.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,357.19 : 190,930.93 = 77,928.49 : x
  2. Step 2: Convert to fraction form
    138,357.19/190,930.93 = 77,928.49/x
  3. Step 3: Cross multiply
    138,357.19x = 190,930.93 × 77,928.49
  4. Step 4: Simplify right side
    138,357.19x = 14,878,959,069.20
  5. Step 5: Solve for x
    x = 14,878,959,069.20/138,357.19
  6. Step 6: Final answer
    x = 107,540.19

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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.