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Finding the Fourth Proportional to 100,804.91, 151,229.93 and 30,689.69

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Solution

The fourth proportional to 100,804.91, 151,229.93 and 30,689.69 is: 46,041.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,804.91 : 151,229.93 = 30,689.69 : x
  2. Step 2: Convert to fraction form
    100,804.91/151,229.93 = 30,689.69/x
  3. Step 3: Cross multiply
    100,804.91x = 151,229.93 × 30,689.69
  4. Step 4: Simplify right side
    100,804.91x = 4,641,198,760.82
  5. Step 5: Solve for x
    x = 4,641,198,760.82/100,804.91
  6. Step 6: Final answer
    x = 46,041.40

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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.