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Finding the Fourth Proportional to 138,340.86, 190,924.74 and 84,661.62

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Solution

The fourth proportional to 138,340.86, 190,924.74 and 84,661.62 is: 116,841.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,340.86 : 190,924.74 = 84,661.62 : x
  2. Step 2: Convert to fraction form
    138,340.86/190,924.74 = 84,661.62/x
  3. Step 3: Cross multiply
    138,340.86x = 190,924.74 × 84,661.62
  4. Step 4: Simplify right side
    138,340.86x = 16,163,997,786.48
  5. Step 5: Solve for x
    x = 16,163,997,786.48/138,340.86
  6. Step 6: Final answer
    x = 116,841.82

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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.