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Finding the Fourth Proportional to 132,243.76, 182,405.82 and 84,475.90

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Solution

The fourth proportional to 132,243.76, 182,405.82 and 84,475.90 is: 116,518.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,243.76 : 182,405.82 = 84,475.90 : x
  2. Step 2: Convert to fraction form
    132,243.76/182,405.82 = 84,475.90/x
  3. Step 3: Cross multiply
    132,243.76x = 182,405.82 × 84,475.90
  4. Step 4: Simplify right side
    132,243.76x = 15,408,895,809.74
  5. Step 5: Solve for x
    x = 15,408,895,809.74/132,243.76
  6. Step 6: Final answer
    x = 116,518.89

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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.