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Finding the Fourth Proportional to 83,785.77, 115,623.54 and 62,371.28

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Solution

The fourth proportional to 83,785.77, 115,623.54 and 62,371.28 is: 86,071.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,785.77 : 115,623.54 = 62,371.28 : x
  2. Step 2: Convert to fraction form
    83,785.77/115,623.54 = 62,371.28/x
  3. Step 3: Cross multiply
    83,785.77x = 115,623.54 × 62,371.28
  4. Step 4: Simplify right side
    83,785.77x = 7,211,588,187.93
  5. Step 5: Solve for x
    x = 7,211,588,187.93/83,785.77
  6. Step 6: Final answer
    x = 86,071.75

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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.