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Finding the Fourth Proportional to 132,132, 182,342.16 and 79,140

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Solution

The fourth proportional to 132,132, 182,342.16 and 79,140 is: 109,213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,132 : 182,342.16 = 79,140 : x
  2. Step 2: Convert to fraction form
    132,132/182,342.16 = 79,140/x
  3. Step 3: Cross multiply
    132,132x = 182,342.16 × 79,140
  4. Step 4: Simplify right side
    132,132x = 14,430,558,542.40
  5. Step 5: Solve for x
    x = 14,430,558,542.40/132,132
  6. Step 6: Final answer
    x = 109,213.20

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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.