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Finding the Fourth Proportional to 156,224, 234,178.16 and 61,520.64

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Solution

The fourth proportional to 156,224, 234,178.16 and 61,520.64 is: 92,218.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,224 : 234,178.16 = 61,520.64 : x
  2. Step 2: Convert to fraction form
    156,224/234,178.16 = 61,520.64/x
  3. Step 3: Cross multiply
    156,224x = 234,178.16 × 61,520.64
  4. Step 4: Simplify right side
    156,224x = 14,406,790,277.22
  5. Step 5: Solve for x
    x = 14,406,790,277.22/156,224
  6. Step 6: Final answer
    x = 92,218.80

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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.