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Finding the Fourth Proportional to 170,838.40, 256,257.60 and 65,659.90

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Solution

The fourth proportional to 170,838.40, 256,257.60 and 65,659.90 is: 98,489.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,838.40 : 256,257.60 = 65,659.90 : x
  2. Step 2: Convert to fraction form
    170,838.40/256,257.60 = 65,659.90/x
  3. Step 3: Cross multiply
    170,838.40x = 256,257.60 × 65,659.90
  4. Step 4: Simplify right side
    170,838.40x = 16,825,848,390.24
  5. Step 5: Solve for x
    x = 16,825,848,390.24/170,838.40
  6. Step 6: Final answer
    x = 98,489.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.