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Finding the Fourth Proportional to 45,078, 62,210.52 and 25,206

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Solution

The fourth proportional to 45,078, 62,210.52 and 25,206 is: 34,785.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,078 : 62,210.52 = 25,206 : x
  2. Step 2: Convert to fraction form
    45,078/62,210.52 = 25,206/x
  3. Step 3: Cross multiply
    45,078x = 62,210.52 × 25,206
  4. Step 4: Simplify right side
    45,078x = 1,568,078,367.12
  5. Step 5: Solve for x
    x = 1,568,078,367.12/45,078
  6. Step 6: Final answer
    x = 34,785.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.