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Finding the Fourth Proportional to 102,916, 142,024.08 and 55,812

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Solution

The fourth proportional to 102,916, 142,024.08 and 55,812 is: 77,020.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,916 : 142,024.08 = 55,812 : x
  2. Step 2: Convert to fraction form
    102,916/142,024.08 = 55,812/x
  3. Step 3: Cross multiply
    102,916x = 142,024.08 × 55,812
  4. Step 4: Simplify right side
    102,916x = 7,926,647,952.96
  5. Step 5: Solve for x
    x = 7,926,647,952.96/102,916
  6. Step 6: Final answer
    x = 77,020.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.