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Finding the Fourth Proportional to 100,799.91, 151,221.77 and 30,677.40

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Solution

The fourth proportional to 100,799.91, 151,221.77 and 30,677.40 is: 46,022.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,799.91 : 151,221.77 = 30,677.40 : x
  2. Step 2: Convert to fraction form
    100,799.91/151,221.77 = 30,677.40/x
  3. Step 3: Cross multiply
    100,799.91x = 151,221.77 × 30,677.40
  4. Step 4: Simplify right side
    100,799.91x = 4,639,090,573.61
  5. Step 5: Solve for x
    x = 4,639,090,573.61/100,799.91
  6. Step 6: Final answer
    x = 46,022.77

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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.