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Finding the Fourth Proportional to 65,694.72, 90,668.88 and 41,831.76

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Solution

The fourth proportional to 65,694.72, 90,668.88 and 41,831.76 is: 57,734.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,694.72 : 90,668.88 = 41,831.76 : x
  2. Step 2: Convert to fraction form
    65,694.72/90,668.88 = 41,831.76/x
  3. Step 3: Cross multiply
    65,694.72x = 90,668.88 × 41,831.76
  4. Step 4: Simplify right side
    65,694.72x = 3,792,838,827.63
  5. Step 5: Solve for x
    x = 3,792,838,827.63/65,694.72
  6. Step 6: Final answer
    x = 57,734.30

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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.