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Finding the Fourth Proportional to 131,280, 196,824 and 48,174.72

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Solution

The fourth proportional to 131,280, 196,824 and 48,174.72 is: 72,226.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,280 : 196,824 = 48,174.72 : x
  2. Step 2: Convert to fraction form
    131,280/196,824 = 48,174.72/x
  3. Step 3: Cross multiply
    131,280x = 196,824 × 48,174.72
  4. Step 4: Simplify right side
    131,280x = 9,481,941,089.28
  5. Step 5: Solve for x
    x = 9,481,941,089.28/131,280
  6. Step 6: Final answer
    x = 72,226.85

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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.