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Finding the Fourth Proportional to 82,917, 114,345.54 and 55,754.28

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Solution

The fourth proportional to 82,917, 114,345.54 and 55,754.28 is: 76,887.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,917 : 114,345.54 = 55,754.28 : x
  2. Step 2: Convert to fraction form
    82,917/114,345.54 = 55,754.28/x
  3. Step 3: Cross multiply
    82,917x = 114,345.54 × 55,754.28
  4. Step 4: Simplify right side
    82,917x = 6,375,253,253.91
  5. Step 5: Solve for x
    x = 6,375,253,253.91/82,917
  6. Step 6: Final answer
    x = 76,887.17

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1.5x scale

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.