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Finding the Fourth Proportional to 103,831.76, 143,244.84 and 76,672.88

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Solution

The fourth proportional to 103,831.76, 143,244.84 and 76,672.88 is: 105,776.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,831.76 : 143,244.84 = 76,672.88 : x
  2. Step 2: Convert to fraction form
    103,831.76/143,244.84 = 76,672.88/x
  3. Step 3: Cross multiply
    103,831.76x = 143,244.84 × 76,672.88
  4. Step 4: Simplify right side
    103,831.76x = 10,982,994,427.94
  5. Step 5: Solve for x
    x = 10,982,994,427.94/103,831.76
  6. Step 6: Final answer
    x = 105,776.83

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1.5x scale

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.