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Finding the Fourth Proportional to 83,020.50, 114,568.30 and 53,212.50

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Solution

The fourth proportional to 83,020.50, 114,568.30 and 53,212.50 is: 73,433.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,020.50 : 114,568.30 = 53,212.50 : x
  2. Step 2: Convert to fraction form
    83,020.50/114,568.30 = 53,212.50/x
  3. Step 3: Cross multiply
    83,020.50x = 114,568.30 × 53,212.50
  4. Step 4: Simplify right side
    83,020.50x = 6,096,465,663.75
  5. Step 5: Solve for x
    x = 6,096,465,663.75/83,020.50
  6. Step 6: Final answer
    x = 73,433.26

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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.