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Finding the Fourth Proportional to 73,815.75, 101,865.75 and 40,281.75

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Solution

The fourth proportional to 73,815.75, 101,865.75 and 40,281.75 is: 55,588.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,815.75 : 101,865.75 = 40,281.75 : x
  2. Step 2: Convert to fraction form
    73,815.75/101,865.75 = 40,281.75/x
  3. Step 3: Cross multiply
    73,815.75x = 101,865.75 × 40,281.75
  4. Step 4: Simplify right side
    73,815.75x = 4,103,330,675.06
  5. Step 5: Solve for x
    x = 4,103,330,675.06/73,815.75
  6. Step 6: Final answer
    x = 55,588.82

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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.