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Finding the Fourth Proportional to 128,519.85, 192,680.90 and 65,288.01

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Solution

The fourth proportional to 128,519.85, 192,680.90 and 65,288.01 is: 97,881.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,519.85 : 192,680.90 = 65,288.01 : x
  2. Step 2: Convert to fraction form
    128,519.85/192,680.90 = 65,288.01/x
  3. Step 3: Cross multiply
    128,519.85x = 192,680.90 × 65,288.01
  4. Step 4: Simplify right side
    128,519.85x = 12,579,752,199.57
  5. Step 5: Solve for x
    x = 12,579,752,199.57/128,519.85
  6. Step 6: Final answer
    x = 97,881.78

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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.