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Finding the Fourth Proportional to 65,117.88, 89,863.21 and 35,309.88

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Solution

The fourth proportional to 65,117.88, 89,863.21 and 35,309.88 is: 48,727.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,117.88 : 89,863.21 = 35,309.88 : x
  2. Step 2: Convert to fraction form
    65,117.88/89,863.21 = 35,309.88/x
  3. Step 3: Cross multiply
    65,117.88x = 89,863.21 × 35,309.88
  4. Step 4: Simplify right side
    65,117.88x = 3,173,059,161.51
  5. Step 5: Solve for x
    x = 3,173,059,161.51/65,117.88
  6. Step 6: Final answer
    x = 48,727.92

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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.