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Finding the Fourth Proportional to 119,612.87, 165,065.36 and 65,897.42

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Solution

The fourth proportional to 119,612.87, 165,065.36 and 65,897.42 is: 90,938.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,612.87 : 165,065.36 = 65,897.42 : x
  2. Step 2: Convert to fraction form
    119,612.87/165,065.36 = 65,897.42/x
  3. Step 3: Cross multiply
    119,612.87x = 165,065.36 × 65,897.42
  4. Step 4: Simplify right side
    119,612.87x = 10,877,380,200.56
  5. Step 5: Solve for x
    x = 10,877,380,200.56/119,612.87
  6. Step 6: Final answer
    x = 90,938.21

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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.