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Finding the Fourth Proportional to 82,918, 114,346.92 and 55,755.28

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Solution

The fourth proportional to 82,918, 114,346.92 and 55,755.28 is: 76,888.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,918 : 114,346.92 = 55,755.28 : x
  2. Step 2: Convert to fraction form
    82,918/114,346.92 = 55,755.28/x
  3. Step 3: Cross multiply
    82,918x = 114,346.92 × 55,755.28
  4. Step 4: Simplify right side
    82,918x = 6,375,444,541.74
  5. Step 5: Solve for x
    x = 6,375,444,541.74/82,918
  6. Step 6: Final answer
    x = 76,888.55

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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.