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Finding the Fourth Proportional to 65,828.61, 90,843.06 and 35,613.72

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Solution

The fourth proportional to 65,828.61, 90,843.06 and 35,613.72 is: 49,146.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,828.61 : 90,843.06 = 35,613.72 : x
  2. Step 2: Convert to fraction form
    65,828.61/90,843.06 = 35,613.72/x
  3. Step 3: Cross multiply
    65,828.61x = 90,843.06 × 35,613.72
  4. Step 4: Simplify right side
    65,828.61x = 3,235,259,302.78
  5. Step 5: Solve for x
    x = 3,235,259,302.78/65,828.61
  6. Step 6: Final answer
    x = 49,146.71

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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.