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Finding the Fourth Proportional to 76,506.75, 114,766.61 and 21,102.75

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Solution

The fourth proportional to 76,506.75, 114,766.61 and 21,102.75 is: 31,655.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,506.75 : 114,766.61 = 21,102.75 : x
  2. Step 2: Convert to fraction form
    76,506.75/114,766.61 = 21,102.75/x
  3. Step 3: Cross multiply
    76,506.75x = 114,766.61 × 21,102.75
  4. Step 4: Simplify right side
    76,506.75x = 2,421,890,973.66
  5. Step 5: Solve for x
    x = 2,421,890,973.66/76,506.75
  6. Step 6: Final answer
    x = 31,655.91

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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.