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Finding the Fourth Proportional to 76,968, 115,471.44 and 21,564

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Solution

The fourth proportional to 76,968, 115,471.44 and 21,564 is: 32,351.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,968 : 115,471.44 = 21,564 : x
  2. Step 2: Convert to fraction form
    76,968/115,471.44 = 21,564/x
  3. Step 3: Cross multiply
    76,968x = 115,471.44 × 21,564
  4. Step 4: Simplify right side
    76,968x = 2,490,026,132.16
  5. Step 5: Solve for x
    x = 2,490,026,132.16/76,968
  6. Step 6: Final answer
    x = 32,351.45

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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.