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Finding the Fourth Proportional to 100,831.84, 139,143.12 and 55,508.88

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Solution

The fourth proportional to 100,831.84, 139,143.12 and 55,508.88 is: 76,599.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,831.84 : 139,143.12 = 55,508.88 : x
  2. Step 2: Convert to fraction form
    100,831.84/139,143.12 = 55,508.88/x
  3. Step 3: Cross multiply
    100,831.84x = 139,143.12 × 55,508.88
  4. Step 4: Simplify right side
    100,831.84x = 7,723,678,750.91
  5. Step 5: Solve for x
    x = 7,723,678,750.91/100,831.84
  6. Step 6: Final answer
    x = 76,599.60

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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.