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Finding the Fourth Proportional to 117,507.90, 176,291.01 and 55,105.50

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Solution

The fourth proportional to 117,507.90, 176,291.01 and 55,105.50 is: 82,671.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,507.90 : 176,291.01 = 55,105.50 : x
  2. Step 2: Convert to fraction form
    117,507.90/176,291.01 = 55,105.50/x
  3. Step 3: Cross multiply
    117,507.90x = 176,291.01 × 55,105.50
  4. Step 4: Simplify right side
    117,507.90x = 9,714,604,251.56
  5. Step 5: Solve for x
    x = 9,714,604,251.56/117,507.90
  6. Step 6: Final answer
    x = 82,671.92

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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.