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Finding the Fourth Proportional to 45,345, 68,019.02 and 20,385.13

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Solution

The fourth proportional to 45,345, 68,019.02 and 20,385.13 is: 30,578.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,345 : 68,019.02 = 20,385.13 : x
  2. Step 2: Convert to fraction form
    45,345/68,019.02 = 20,385.13/x
  3. Step 3: Cross multiply
    45,345x = 68,019.02 × 20,385.13
  4. Step 4: Simplify right side
    45,345x = 1,386,576,446.09
  5. Step 5: Solve for x
    x = 1,386,576,446.09/45,345
  6. Step 6: Final answer
    x = 30,578.38

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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.