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Finding the Fourth Proportional to 76,660.65, 114,981.88 and 20,505.10

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Solution

The fourth proportional to 76,660.65, 114,981.88 and 20,505.10 is: 30,755.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,660.65 : 114,981.88 = 20,505.10 : x
  2. Step 2: Convert to fraction form
    76,660.65/114,981.88 = 20,505.10/x
  3. Step 3: Cross multiply
    76,660.65x = 114,981.88 × 20,505.10
  4. Step 4: Simplify right side
    76,660.65x = 2,357,714,947.59
  5. Step 5: Solve for x
    x = 2,357,714,947.59/76,660.65
  6. Step 6: Final answer
    x = 30,755.22

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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.