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Finding the Fourth Proportional to 153,821.60, 230,343.60 and 100,944.80

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Solution

The fourth proportional to 153,821.60, 230,343.60 and 100,944.80 is: 151,162.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,821.60 : 230,343.60 = 100,944.80 : x
  2. Step 2: Convert to fraction form
    153,821.60/230,343.60 = 100,944.80/x
  3. Step 3: Cross multiply
    153,821.60x = 230,343.60 × 100,944.80
  4. Step 4: Simplify right side
    153,821.60x = 23,251,988,633.28
  5. Step 5: Solve for x
    x = 23,251,988,633.28/153,821.60
  6. Step 6: Final answer
    x = 151,162.05

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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.