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Finding the Fourth Proportional to 76,654.50, 114,981.75 and 21,250.50

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Solution

The fourth proportional to 76,654.50, 114,981.75 and 21,250.50 is: 31,875.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,654.50 : 114,981.75 = 21,250.50 : x
  2. Step 2: Convert to fraction form
    76,654.50/114,981.75 = 21,250.50/x
  3. Step 3: Cross multiply
    76,654.50x = 114,981.75 × 21,250.50
  4. Step 4: Simplify right side
    76,654.50x = 2,443,419,678.38
  5. Step 5: Solve for x
    x = 2,443,419,678.38/76,654.50
  6. Step 6: Final answer
    x = 31,875.75

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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.