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Finding the Fourth Proportional to 65,830.62, 90,845.82 and 35,615.72

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Solution

The fourth proportional to 65,830.62, 90,845.82 and 35,615.72 is: 49,149.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,830.62 : 90,845.82 = 35,615.72 : x
  2. Step 2: Convert to fraction form
    65,830.62/90,845.82 = 35,615.72/x
  3. Step 3: Cross multiply
    65,830.62x = 90,845.82 × 35,615.72
  4. Step 4: Simplify right side
    65,830.62x = 3,235,539,288.29
  5. Step 5: Solve for x
    x = 3,235,539,288.29/65,830.62
  6. Step 6: Final answer
    x = 49,149.46

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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.