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Finding the Fourth Proportional to 132,421.71, 182,743.50 and 71,991.03

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Solution

The fourth proportional to 132,421.71, 182,743.50 and 71,991.03 is: 99,348.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,421.71 : 182,743.50 = 71,991.03 : x
  2. Step 2: Convert to fraction form
    132,421.71/182,743.50 = 71,991.03/x
  3. Step 3: Cross multiply
    132,421.71x = 182,743.50 × 71,991.03
  4. Step 4: Simplify right side
    132,421.71x = 13,155,892,790.81
  5. Step 5: Solve for x
    x = 13,155,892,790.81/132,421.71
  6. Step 6: Final answer
    x = 99,348.46

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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.