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Finding the Fourth Proportional to 65,502.08, 90,388.92 and 38,653

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Solution

The fourth proportional to 65,502.08, 90,388.92 and 38,653 is: 53,338.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,502.08 : 90,388.92 = 38,653 : x
  2. Step 2: Convert to fraction form
    65,502.08/90,388.92 = 38,653/x
  3. Step 3: Cross multiply
    65,502.08x = 90,388.92 × 38,653
  4. Step 4: Simplify right side
    65,502.08x = 3,493,802,924.76
  5. Step 5: Solve for x
    x = 3,493,802,924.76/65,502.08
  6. Step 6: Final answer
    x = 53,338.81

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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.