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Finding the Fourth Proportional to 76,544.84, 114,823.74 and 21,140.84

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Solution

The fourth proportional to 76,544.84, 114,823.74 and 21,140.84 is: 31,713.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,544.84 : 114,823.74 = 21,140.84 : x
  2. Step 2: Convert to fraction form
    76,544.84/114,823.74 = 21,140.84/x
  3. Step 3: Cross multiply
    76,544.84x = 114,823.74 × 21,140.84
  4. Step 4: Simplify right side
    76,544.84x = 2,427,470,315.54
  5. Step 5: Solve for x
    x = 2,427,470,315.54/76,544.84
  6. Step 6: Final answer
    x = 31,713.05

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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.