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Finding the Fourth Proportional to 156,992.40, 235,415.70 and 68,200.20

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Solution

The fourth proportional to 156,992.40, 235,415.70 and 68,200.20 is: 102,268.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,992.40 : 235,415.70 = 68,200.20 : x
  2. Step 2: Convert to fraction form
    156,992.40/235,415.70 = 68,200.20/x
  3. Step 3: Cross multiply
    156,992.40x = 235,415.70 × 68,200.20
  4. Step 4: Simplify right side
    156,992.40x = 16,055,397,823.14
  5. Step 5: Solve for x
    x = 16,055,397,823.14/156,992.40
  6. Step 6: Final answer
    x = 102,268.63

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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.