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Finding the Fourth Proportional to 119,761.64, 165,265.21 and 72,005.76

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Solution

The fourth proportional to 119,761.64, 165,265.21 and 72,005.76 is: 99,364.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,761.64 : 165,265.21 = 72,005.76 : x
  2. Step 2: Convert to fraction form
    119,761.64/165,265.21 = 72,005.76/x
  3. Step 3: Cross multiply
    119,761.64x = 165,265.21 × 72,005.76
  4. Step 4: Simplify right side
    119,761.64x = 11,900,047,137.62
  5. Step 5: Solve for x
    x = 11,900,047,137.62/119,761.64
  6. Step 6: Final answer
    x = 99,364.43

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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.