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Finding the Fourth Proportional to 119,685.53, 165,163.86 and 65,238.23

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Solution

The fourth proportional to 119,685.53, 165,163.86 and 65,238.23 is: 90,027.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,685.53 : 165,163.86 = 65,238.23 : x
  2. Step 2: Convert to fraction form
    119,685.53/165,163.86 = 65,238.23/x
  3. Step 3: Cross multiply
    119,685.53x = 165,163.86 × 65,238.23
  4. Step 4: Simplify right side
    119,685.53x = 10,774,998,299.28
  5. Step 5: Solve for x
    x = 10,774,998,299.28/119,685.53
  6. Step 6: Final answer
    x = 90,027.58

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1.5x scale

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.