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Finding the Fourth Proportional to 156,954.50, 235,431.76 and 40,218.50

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Solution

The fourth proportional to 156,954.50, 235,431.76 and 40,218.50 is: 60,327.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,954.50 : 235,431.76 = 40,218.50 : x
  2. Step 2: Convert to fraction form
    156,954.50/235,431.76 = 40,218.50/x
  3. Step 3: Cross multiply
    156,954.50x = 235,431.76 × 40,218.50
  4. Step 4: Simplify right side
    156,954.50x = 9,468,712,239.56
  5. Step 5: Solve for x
    x = 9,468,712,239.56/156,954.50
  6. Step 6: Final answer
    x = 60,327.75

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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.