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Finding the Fourth Proportional to 76,656.33, 114,967.22 and 21,256.65

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Solution

The fourth proportional to 76,656.33, 114,967.22 and 21,256.65 is: 31,880.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,656.33 : 114,967.22 = 21,256.65 : x
  2. Step 2: Convert to fraction form
    76,656.33/114,967.22 = 21,256.65/x
  3. Step 3: Cross multiply
    76,656.33x = 114,967.22 × 21,256.65
  4. Step 4: Simplify right side
    76,656.33x = 2,443,817,850.73
  5. Step 5: Solve for x
    x = 2,443,817,850.73/76,656.33
  6. Step 6: Final answer
    x = 31,880.18

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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.