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Finding the Fourth Proportional to 100,454, 138,633 and 55,742

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Solution

The fourth proportional to 100,454, 138,633 and 55,742 is: 76,927.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,454 : 138,633 = 55,742 : x
  2. Step 2: Convert to fraction form
    100,454/138,633 = 55,742/x
  3. Step 3: Cross multiply
    100,454x = 138,633 × 55,742
  4. Step 4: Simplify right side
    100,454x = 7,727,680,686
  5. Step 5: Solve for x
    x = 7,727,680,686/100,454
  6. Step 6: Final answer
    x = 76,927.56

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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.