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Finding the Fourth Proportional to 100,809.57, 151,203.56 and 30,689.49

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Solution

The fourth proportional to 100,809.57, 151,203.56 and 30,689.49 is: 46,030.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,809.57 : 151,203.56 = 30,689.49 : x
  2. Step 2: Convert to fraction form
    100,809.57/151,203.56 = 30,689.49/x
  3. Step 3: Cross multiply
    100,809.57x = 151,203.56 × 30,689.49
  4. Step 4: Simplify right side
    100,809.57x = 4,640,359,989.14
  5. Step 5: Solve for x
    x = 4,640,359,989.14/100,809.57
  6. Step 6: Final answer
    x = 46,030.95

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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.