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Finding the Fourth Proportional to 100,706.45, 138,976.49 and 55,386.41

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Solution

The fourth proportional to 100,706.45, 138,976.49 and 55,386.41 is: 76,434.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,706.45 : 138,976.49 = 55,386.41 : x
  2. Step 2: Convert to fraction form
    100,706.45/138,976.49 = 55,386.41/x
  3. Step 3: Cross multiply
    100,706.45x = 138,976.49 × 55,386.41
  4. Step 4: Simplify right side
    100,706.45x = 7,697,408,299.08
  5. Step 5: Solve for x
    x = 7,697,408,299.08/100,706.45
  6. Step 6: Final answer
    x = 76,434.12

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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.