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Finding the Fourth Proportional to 119,685.22, 165,166.74 and 65,972.32

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Solution

The fourth proportional to 119,685.22, 165,166.74 and 65,972.32 is: 91,042.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,685.22 : 165,166.74 = 65,972.32 : x
  2. Step 2: Convert to fraction form
    119,685.22/165,166.74 = 65,972.32/x
  3. Step 3: Cross multiply
    119,685.22x = 165,166.74 × 65,972.32
  4. Step 4: Simplify right side
    119,685.22x = 10,896,433,024.64
  5. Step 5: Solve for x
    x = 10,896,433,024.64/119,685.22
  6. Step 6: Final answer
    x = 91,042.43

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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.