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Finding the Fourth Proportional to 76,512, 114,774.62 and 21,108

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Solution

The fourth proportional to 76,512, 114,774.62 and 21,108 is: 31,663.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,512 : 114,774.62 = 21,108 : x
  2. Step 2: Convert to fraction form
    76,512/114,774.62 = 21,108/x
  3. Step 3: Cross multiply
    76,512x = 114,774.62 × 21,108
  4. Step 4: Simplify right side
    76,512x = 2,422,662,573.42
  5. Step 5: Solve for x
    x = 2,422,662,573.42/76,512
  6. Step 6: Final answer
    x = 31,663.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.