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Finding the Fourth Proportional to 97,833.72, 135,012.15 and 54,812.73

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Solution

The fourth proportional to 97,833.72, 135,012.15 and 54,812.73 is: 75,642.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,833.72 : 135,012.15 = 54,812.73 : x
  2. Step 2: Convert to fraction form
    97,833.72/135,012.15 = 54,812.73/x
  3. Step 3: Cross multiply
    97,833.72x = 135,012.15 × 54,812.73
  4. Step 4: Simplify right side
    97,833.72x = 7,400,384,524.67
  5. Step 5: Solve for x
    x = 7,400,384,524.67/97,833.72
  6. Step 6: Final answer
    x = 75,642.47

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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.