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Finding the Fourth Proportional to 100,697.34, 138,964.65 and 55,377.84

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Solution

The fourth proportional to 100,697.34, 138,964.65 and 55,377.84 is: 76,422.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,697.34 : 138,964.65 = 55,377.84 : x
  2. Step 2: Convert to fraction form
    100,697.34/138,964.65 = 55,377.84/x
  3. Step 3: Cross multiply
    100,697.34x = 138,964.65 × 55,377.84
  4. Step 4: Simplify right side
    100,697.34x = 7,695,562,153.36
  5. Step 5: Solve for x
    x = 7,695,562,153.36/100,697.34
  6. Step 6: Final answer
    x = 76,422.70

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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.