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Finding the Fourth Proportional to 65,717.22, 90,689.79 and 35,502.54

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Solution

The fourth proportional to 65,717.22, 90,689.79 and 35,502.54 is: 48,993.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,717.22 : 90,689.79 = 35,502.54 : x
  2. Step 2: Convert to fraction form
    65,717.22/90,689.79 = 35,502.54/x
  3. Step 3: Cross multiply
    65,717.22x = 90,689.79 × 35,502.54
  4. Step 4: Simplify right side
    65,717.22x = 3,219,717,690.11
  5. Step 5: Solve for x
    x = 3,219,717,690.11/65,717.22
  6. Step 6: Final answer
    x = 48,993.51

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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.