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Finding the Fourth Proportional to 77,239.72, 115,850.40 and 21,084.40

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Solution

The fourth proportional to 77,239.72, 115,850.40 and 21,084.40 is: 31,624.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,239.72 : 115,850.40 = 21,084.40 : x
  2. Step 2: Convert to fraction form
    77,239.72/115,850.40 = 21,084.40/x
  3. Step 3: Cross multiply
    77,239.72x = 115,850.40 × 21,084.40
  4. Step 4: Simplify right side
    77,239.72x = 2,442,636,173.76
  5. Step 5: Solve for x
    x = 2,442,636,173.76/77,239.72
  6. Step 6: Final answer
    x = 31,624.09

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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.