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Finding the Fourth Proportional to 65,820, 90,831.84 and 45,982.56

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Solution

The fourth proportional to 65,820, 90,831.84 and 45,982.56 is: 63,456.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,820 : 90,831.84 = 45,982.56 : x
  2. Step 2: Convert to fraction form
    65,820/90,831.84 = 45,982.56/x
  3. Step 3: Cross multiply
    65,820x = 90,831.84 × 45,982.56
  4. Step 4: Simplify right side
    65,820x = 4,176,680,532.71
  5. Step 5: Solve for x
    x = 4,176,680,532.71/65,820
  6. Step 6: Final answer
    x = 63,456.10

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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.