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Finding the Fourth Proportional to 100,654.69, 138,905.24 and 55,334.58

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Solution

The fourth proportional to 100,654.69, 138,905.24 and 55,334.58 is: 76,362.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,654.69 : 138,905.24 = 55,334.58 : x
  2. Step 2: Convert to fraction form
    100,654.69/138,905.24 = 55,334.58/x
  3. Step 3: Cross multiply
    100,654.69x = 138,905.24 × 55,334.58
  4. Step 4: Simplify right side
    100,654.69x = 7,686,263,115.20
  5. Step 5: Solve for x
    x = 7,686,263,115.20/100,654.69
  6. Step 6: Final answer
    x = 76,362.69

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1.5x scale

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.