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Finding the Fourth Proportional to 65,884.40, 90,920.36 and 35,669.92

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Solution

The fourth proportional to 65,884.40, 90,920.36 and 35,669.92 is: 49,224.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,884.40 : 90,920.36 = 35,669.92 : x
  2. Step 2: Convert to fraction form
    65,884.40/90,920.36 = 35,669.92/x
  3. Step 3: Cross multiply
    65,884.40x = 90,920.36 × 35,669.92
  4. Step 4: Simplify right side
    65,884.40x = 3,243,121,967.57
  5. Step 5: Solve for x
    x = 3,243,121,967.57/65,884.40
  6. Step 6: Final answer
    x = 49,224.43

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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.