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Finding the Fourth Proportional to 138,249.52, 190,746.12 and 77,816.64

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Solution

The fourth proportional to 138,249.52, 190,746.12 and 77,816.64 is: 107,365.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,249.52 : 190,746.12 = 77,816.64 : x
  2. Step 2: Convert to fraction form
    138,249.52/190,746.12 = 77,816.64/x
  3. Step 3: Cross multiply
    138,249.52x = 190,746.12 × 77,816.64
  4. Step 4: Simplify right side
    138,249.52x = 14,843,222,151.44
  5. Step 5: Solve for x
    x = 14,843,222,151.44/138,249.52
  6. Step 6: Final answer
    x = 107,365.45

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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.