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Finding the Fourth Proportional to 119,653.91, 165,120.28 and 65,206.57

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Solution

The fourth proportional to 119,653.91, 165,120.28 and 65,206.57 is: 89,983.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,653.91 : 165,120.28 = 65,206.57 : x
  2. Step 2: Convert to fraction form
    119,653.91/165,120.28 = 65,206.57/x
  3. Step 3: Cross multiply
    119,653.91x = 165,120.28 × 65,206.57
  4. Step 4: Simplify right side
    119,653.91x = 10,766,927,096.24
  5. Step 5: Solve for x
    x = 10,766,927,096.24/119,653.91
  6. Step 6: Final answer
    x = 89,983.91

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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.