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Finding the Fourth Proportional to 131,889.10, 197,918.70 and 72,767.20

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Solution

The fourth proportional to 131,889.10, 197,918.70 and 72,767.20 is: 109,197.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,889.10 : 197,918.70 = 72,767.20 : x
  2. Step 2: Convert to fraction form
    131,889.10/197,918.70 = 72,767.20/x
  3. Step 3: Cross multiply
    131,889.10x = 197,918.70 × 72,767.20
  4. Step 4: Simplify right side
    131,889.10x = 14,401,989,626.64
  5. Step 5: Solve for x
    x = 14,401,989,626.64/131,889.10
  6. Step 6: Final answer
    x = 109,197.72

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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.