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Finding the Fourth Proportional to 65,497.08, 90,382.02 and 38,648

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Solution

The fourth proportional to 65,497.08, 90,382.02 and 38,648 is: 53,331.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,497.08 : 90,382.02 = 38,648 : x
  2. Step 2: Convert to fraction form
    65,497.08/90,382.02 = 38,648/x
  3. Step 3: Cross multiply
    65,497.08x = 90,382.02 × 38,648
  4. Step 4: Simplify right side
    65,497.08x = 3,493,084,308.96
  5. Step 5: Solve for x
    x = 3,493,084,308.96/65,497.08
  6. Step 6: Final answer
    x = 53,331.91

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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.