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Finding the Fourth Proportional to 35,812.70, 53,719.20 and 12,120.43

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Solution

The fourth proportional to 35,812.70, 53,719.20 and 12,120.43 is: 18,180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,812.70 : 53,719.20 = 12,120.43 : x
  2. Step 2: Convert to fraction form
    35,812.70/53,719.20 = 12,120.43/x
  3. Step 3: Cross multiply
    35,812.70x = 53,719.20 × 12,120.43
  4. Step 4: Simplify right side
    35,812.70x = 651,099,937.55
  5. Step 5: Solve for x
    x = 651,099,937.55/35,812.70
  6. Step 6: Final answer
    x = 18,180.70

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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.