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Finding the Fourth Proportional to 100,776.52, 151,186.64 and 30,654.01

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Solution

The fourth proportional to 100,776.52, 151,186.64 and 30,654.01 is: 45,987.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,776.52 : 151,186.64 = 30,654.01 : x
  2. Step 2: Convert to fraction form
    100,776.52/151,186.64 = 30,654.01/x
  3. Step 3: Cross multiply
    100,776.52x = 151,186.64 × 30,654.01
  4. Step 4: Simplify right side
    100,776.52x = 4,634,476,530.57
  5. Step 5: Solve for x
    x = 4,634,476,530.57/100,776.52
  6. Step 6: Final answer
    x = 45,987.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.