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Finding the Fourth Proportional to 100,564.70, 138,772.41 and 55,244.58

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Solution

The fourth proportional to 100,564.70, 138,772.41 and 55,244.58 is: 76,233.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,564.70 : 138,772.41 = 55,244.58 : x
  2. Step 2: Convert to fraction form
    100,564.70/138,772.41 = 55,244.58/x
  3. Step 3: Cross multiply
    100,564.70x = 138,772.41 × 55,244.58
  4. Step 4: Simplify right side
    100,564.70x = 7,666,423,506.04
  5. Step 5: Solve for x
    x = 7,666,423,506.04/100,564.70
  6. Step 6: Final answer
    x = 76,233.75

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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.