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Finding the Fourth Proportional to 83,221.56, 114,845.85 and 45,495.81

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Solution

The fourth proportional to 83,221.56, 114,845.85 and 45,495.81 is: 62,784.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,221.56 : 114,845.85 = 45,495.81 : x
  2. Step 2: Convert to fraction form
    83,221.56/114,845.85 = 45,495.81/x
  3. Step 3: Cross multiply
    83,221.56x = 114,845.85 × 45,495.81
  4. Step 4: Simplify right side
    83,221.56x = 5,225,004,970.89
  5. Step 5: Solve for x
    x = 5,225,004,970.89/83,221.56
  6. Step 6: Final answer
    x = 62,784.27

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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.