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Finding the Fourth Proportional to 103,989.66, 155,574.08 and 78,761.86

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Solution

The fourth proportional to 103,989.66, 155,574.08 and 78,761.86 is: 117,831.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,989.66 : 155,574.08 = 78,761.86 : x
  2. Step 2: Convert to fraction form
    103,989.66/155,574.08 = 78,761.86/x
  3. Step 3: Cross multiply
    103,989.66x = 155,574.08 × 78,761.86
  4. Step 4: Simplify right side
    103,989.66x = 12,253,304,004.60
  5. Step 5: Solve for x
    x = 12,253,304,004.60/103,989.66
  6. Step 6: Final answer
    x = 117,831.95

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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.