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Finding the Fourth Proportional to 76,661.20, 114,983.71 and 20,506.98

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Solution

The fourth proportional to 76,661.20, 114,983.71 and 20,506.98 is: 30,758.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,661.20 : 114,983.71 = 20,506.98 : x
  2. Step 2: Convert to fraction form
    76,661.20/114,983.71 = 20,506.98/x
  3. Step 3: Cross multiply
    76,661.20x = 114,983.71 × 20,506.98
  4. Step 4: Simplify right side
    76,661.20x = 2,357,968,641.30
  5. Step 5: Solve for x
    x = 2,357,968,641.30/76,661.20
  6. Step 6: Final answer
    x = 30,758.31

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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.