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Finding the Fourth Proportional to 119,685.72, 165,167.44 and 65,972.82

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Solution

The fourth proportional to 119,685.72, 165,167.44 and 65,972.82 is: 91,043.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,685.72 : 165,167.44 = 65,972.82 : x
  2. Step 2: Convert to fraction form
    119,685.72/165,167.44 = 65,972.82/x
  3. Step 3: Cross multiply
    119,685.72x = 165,167.44 × 65,972.82
  4. Step 4: Simplify right side
    119,685.72x = 10,896,561,788.98
  5. Step 5: Solve for x
    x = 10,896,561,788.98/119,685.72
  6. Step 6: Final answer
    x = 91,043.12

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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.