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Finding the Fourth Proportional to 102,124.97, 140,874.93 and 61,278.54

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Solution

The fourth proportional to 102,124.97, 140,874.93 and 61,278.54 is: 84,529.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,124.97 : 140,874.93 = 61,278.54 : x
  2. Step 2: Convert to fraction form
    102,124.97/140,874.93 = 61,278.54/x
  3. Step 3: Cross multiply
    102,124.97x = 140,874.93 × 61,278.54
  4. Step 4: Simplify right side
    102,124.97x = 8,632,610,033.00
  5. Step 5: Solve for x
    x = 8,632,610,033.00/102,124.97
  6. Step 6: Final answer
    x = 84,529.87

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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.