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Finding the Fourth Proportional to 100,798.60, 151,170.78 and 30,659.08

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Solution

The fourth proportional to 100,798.60, 151,170.78 and 30,659.08 is: 45,980.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,798.60 : 151,170.78 = 30,659.08 : x
  2. Step 2: Convert to fraction form
    100,798.60/151,170.78 = 30,659.08/x
  3. Step 3: Cross multiply
    100,798.60x = 151,170.78 × 30,659.08
  4. Step 4: Simplify right side
    100,798.60x = 4,634,757,037.68
  5. Step 5: Solve for x
    x = 4,634,757,037.68/100,798.60
  6. Step 6: Final answer
    x = 45,980.37

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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.