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Finding the Fourth Proportional to 156,976.40, 235,459.40 and 68,230.02

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Solution

The fourth proportional to 156,976.40, 235,459.40 and 68,230.02 is: 102,342.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,976.40 : 235,459.40 = 68,230.02 : x
  2. Step 2: Convert to fraction form
    156,976.40/235,459.40 = 68,230.02/x
  3. Step 3: Cross multiply
    156,976.40x = 235,459.40 × 68,230.02
  4. Step 4: Simplify right side
    156,976.40x = 16,065,399,571.19
  5. Step 5: Solve for x
    x = 16,065,399,571.19/156,976.40
  6. Step 6: Final answer
    x = 102,342.77

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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.