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Finding the Fourth Proportional to 155,754.54, 214,941.35 and 84,134.55

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Solution

The fourth proportional to 155,754.54, 214,941.35 and 84,134.55 is: 116,105.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,754.54 : 214,941.35 = 84,134.55 : x
  2. Step 2: Convert to fraction form
    155,754.54/214,941.35 = 84,134.55/x
  3. Step 3: Cross multiply
    155,754.54x = 214,941.35 × 84,134.55
  4. Step 4: Simplify right side
    155,754.54x = 18,083,993,337.97
  5. Step 5: Solve for x
    x = 18,083,993,337.97/155,754.54
  6. Step 6: Final answer
    x = 116,105.72

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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.