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Finding the Fourth Proportional to 132,443, 182,771.34 and 72,827

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Solution

The fourth proportional to 132,443, 182,771.34 and 72,827 is: 100,501.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,443 : 182,771.34 = 72,827 : x
  2. Step 2: Convert to fraction form
    132,443/182,771.34 = 72,827/x
  3. Step 3: Cross multiply
    132,443x = 182,771.34 × 72,827
  4. Step 4: Simplify right side
    132,443x = 13,310,688,378.18
  5. Step 5: Solve for x
    x = 13,310,688,378.18/132,443
  6. Step 6: Final answer
    x = 100,501.26

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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.