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Finding the Fourth Proportional to 75,081.92, 112,661.76 and 54,475.52

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Solution

The fourth proportional to 75,081.92, 112,661.76 and 54,475.52 is: 81,741.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,081.92 : 112,661.76 = 54,475.52 : x
  2. Step 2: Convert to fraction form
    75,081.92/112,661.76 = 54,475.52/x
  3. Step 3: Cross multiply
    75,081.92x = 112,661.76 × 54,475.52
  4. Step 4: Simplify right side
    75,081.92x = 6,137,307,960.12
  5. Step 5: Solve for x
    x = 6,137,307,960.12/75,081.92
  6. Step 6: Final answer
    x = 81,741.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.