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Finding the Fourth Proportional to 100,297.47, 138,409.65 and 54,977.97

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Solution

The fourth proportional to 100,297.47, 138,409.65 and 54,977.97 is: 75,869.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,297.47 : 138,409.65 = 54,977.97 : x
  2. Step 2: Convert to fraction form
    100,297.47/138,409.65 = 54,977.97/x
  3. Step 3: Cross multiply
    100,297.47x = 138,409.65 × 54,977.97
  4. Step 4: Simplify right side
    100,297.47x = 7,609,481,585.41
  5. Step 5: Solve for x
    x = 7,609,481,585.41/100,297.47
  6. Step 6: Final answer
    x = 75,869.13

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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.