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Finding the Fourth Proportional to 100,689.69, 151,024.80 and 30,569.61

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Solution

The fourth proportional to 100,689.69, 151,024.80 and 30,569.61 is: 45,851.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,689.69 : 151,024.80 = 30,569.61 : x
  2. Step 2: Convert to fraction form
    100,689.69/151,024.80 = 30,569.61/x
  3. Step 3: Cross multiply
    100,689.69x = 151,024.80 × 30,569.61
  4. Step 4: Simplify right side
    100,689.69x = 4,616,769,236.33
  5. Step 5: Solve for x
    x = 4,616,769,236.33/100,689.69
  6. Step 6: Final answer
    x = 45,851.46

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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.