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Finding the Fourth Proportional to 145,863.21, 218,831.76 and 40,682.16

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Solution

The fourth proportional to 145,863.21, 218,831.76 and 40,682.16 is: 61,033.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,863.21 : 218,831.76 = 40,682.16 : x
  2. Step 2: Convert to fraction form
    145,863.21/218,831.76 = 40,682.16/x
  3. Step 3: Cross multiply
    145,863.21x = 218,831.76 × 40,682.16
  4. Step 4: Simplify right side
    145,863.21x = 8,902,548,673.40
  5. Step 5: Solve for x
    x = 8,902,548,673.40/145,863.21
  6. Step 6: Final answer
    x = 61,033.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.