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Finding the Fourth Proportional to 65,242, 90,033.96 and 35,434

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Solution

The fourth proportional to 65,242, 90,033.96 and 35,434 is: 48,898.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,242 : 90,033.96 = 35,434 : x
  2. Step 2: Convert to fraction form
    65,242/90,033.96 = 35,434/x
  3. Step 3: Cross multiply
    65,242x = 90,033.96 × 35,434
  4. Step 4: Simplify right side
    65,242x = 3,190,263,338.64
  5. Step 5: Solve for x
    x = 3,190,263,338.64/65,242
  6. Step 6: Final answer
    x = 48,898.92

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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.