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Finding the Fourth Proportional to 65,713.92, 90,683.52 and 35,904

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Solution

The fourth proportional to 65,713.92, 90,683.52 and 35,904 is: 49,546.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,713.92 : 90,683.52 = 35,904 : x
  2. Step 2: Convert to fraction form
    65,713.92/90,683.52 = 35,904/x
  3. Step 3: Cross multiply
    65,713.92x = 90,683.52 × 35,904
  4. Step 4: Simplify right side
    65,713.92x = 3,255,901,102.08
  5. Step 5: Solve for x
    x = 3,255,901,102.08/65,713.92
  6. Step 6: Final answer
    x = 49,546.60

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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.