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Finding the Fourth Proportional to 72,917.65, 109,770.41 and 65,585.54

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Solution

The fourth proportional to 72,917.65, 109,770.41 and 65,585.54 is: 98,732.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,917.65 : 109,770.41 = 65,585.54 : x
  2. Step 2: Convert to fraction form
    72,917.65/109,770.41 = 65,585.54/x
  3. Step 3: Cross multiply
    72,917.65x = 109,770.41 × 65,585.54
  4. Step 4: Simplify right side
    72,917.65x = 7,199,351,615.87
  5. Step 5: Solve for x
    x = 7,199,351,615.87/72,917.65
  6. Step 6: Final answer
    x = 98,732.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.