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Finding the Fourth Proportional to 100,814, 151,243.62 and 30,698.84

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Solution

The fourth proportional to 100,814, 151,243.62 and 30,698.84 is: 46,055.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,814 : 151,243.62 = 30,698.84 : x
  2. Step 2: Convert to fraction form
    100,814/151,243.62 = 30,698.84/x
  3. Step 3: Cross multiply
    100,814x = 151,243.62 × 30,698.84
  4. Step 4: Simplify right side
    100,814x = 4,643,003,691.40
  5. Step 5: Solve for x
    x = 4,643,003,691.40/100,814
  6. Step 6: Final answer
    x = 46,055.15

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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.