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Finding the Fourth Proportional to 22,768, 34,099.95 and 20,107.28

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Solution

The fourth proportional to 22,768, 34,099.95 and 20,107.28 is: 30,114.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,768 : 34,099.95 = 20,107.28 : x
  2. Step 2: Convert to fraction form
    22,768/34,099.95 = 20,107.28/x
  3. Step 3: Cross multiply
    22,768x = 34,099.95 × 20,107.28
  4. Step 4: Simplify right side
    22,768x = 685,657,242.64
  5. Step 5: Solve for x
    x = 685,657,242.64/22,768
  6. Step 6: Final answer
    x = 30,114.95

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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.