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Finding the Fourth Proportional to 138,786.44, 208,208.46 and 55,686.92

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Solution

The fourth proportional to 138,786.44, 208,208.46 and 55,686.92 is: 83,541.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,786.44 : 208,208.46 = 55,686.92 : x
  2. Step 2: Convert to fraction form
    138,786.44/208,208.46 = 55,686.92/x
  3. Step 3: Cross multiply
    138,786.44x = 208,208.46 × 55,686.92
  4. Step 4: Simplify right side
    138,786.44x = 11,594,487,855.34
  5. Step 5: Solve for x
    x = 11,594,487,855.34/138,786.44
  6. Step 6: Final answer
    x = 83,541.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.