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Finding the Fourth Proportional to 76,545, 114,823.98 and 21,141

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Solution

The fourth proportional to 76,545, 114,823.98 and 21,141 is: 31,713.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,545 : 114,823.98 = 21,141 : x
  2. Step 2: Convert to fraction form
    76,545/114,823.98 = 21,141/x
  3. Step 3: Cross multiply
    76,545x = 114,823.98 × 21,141
  4. Step 4: Simplify right side
    76,545x = 2,427,493,761.18
  5. Step 5: Solve for x
    x = 2,427,493,761.18/76,545
  6. Step 6: Final answer
    x = 31,713.29

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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.