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Finding the Fourth Proportional to 43,886.34, 65,831.13 and 20,506.50

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Solution

The fourth proportional to 43,886.34, 65,831.13 and 20,506.50 is: 30,760.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,886.34 : 65,831.13 = 20,506.50 : x
  2. Step 2: Convert to fraction form
    43,886.34/65,831.13 = 20,506.50/x
  3. Step 3: Cross multiply
    43,886.34x = 65,831.13 × 20,506.50
  4. Step 4: Simplify right side
    43,886.34x = 1,349,966,067.35
  5. Step 5: Solve for x
    x = 1,349,966,067.35/43,886.34
  6. Step 6: Final answer
    x = 30,760.51

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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.