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Finding the Fourth Proportional to 100,775.88, 151,172.19 and 30,655.80

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Solution

The fourth proportional to 100,775.88, 151,172.19 and 30,655.80 is: 45,986.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,775.88 : 151,172.19 = 30,655.80 : x
  2. Step 2: Convert to fraction form
    100,775.88/151,172.19 = 30,655.80/x
  3. Step 3: Cross multiply
    100,775.88x = 151,172.19 × 30,655.80
  4. Step 4: Simplify right side
    100,775.88x = 4,634,304,422.20
  5. Step 5: Solve for x
    x = 4,634,304,422.20/100,775.88
  6. Step 6: Final answer
    x = 45,986.25

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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.