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Finding the Fourth Proportional to 78,143.18, 107,831.17 and 44,154.61

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Solution

The fourth proportional to 78,143.18, 107,831.17 and 44,154.61 is: 60,929.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,143.18 : 107,831.17 = 44,154.61 : x
  2. Step 2: Convert to fraction form
    78,143.18/107,831.17 = 44,154.61/x
  3. Step 3: Cross multiply
    78,143.18x = 107,831.17 × 44,154.61
  4. Step 4: Simplify right side
    78,143.18x = 4,761,242,877.23
  5. Step 5: Solve for x
    x = 4,761,242,877.23/78,143.18
  6. Step 6: Final answer
    x = 60,929.73

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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.