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Finding the Fourth Proportional to 78,120.17, 117,222.90 and 33,134.52

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Solution

The fourth proportional to 78,120.17, 117,222.90 and 33,134.52 is: 49,719.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,120.17 : 117,222.90 = 33,134.52 : x
  2. Step 2: Convert to fraction form
    78,120.17/117,222.90 = 33,134.52/x
  3. Step 3: Cross multiply
    78,120.17x = 117,222.90 × 33,134.52
  4. Step 4: Simplify right side
    78,120.17x = 3,884,124,180.46
  5. Step 5: Solve for x
    x = 3,884,124,180.46/78,120.17
  6. Step 6: Final answer
    x = 49,719.86

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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.