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Finding the Fourth Proportional to 103,138.50, 154,682.66 and 43,134.50

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Solution

The fourth proportional to 103,138.50, 154,682.66 and 43,134.50 is: 64,691.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,138.50 : 154,682.66 = 43,134.50 : x
  2. Step 2: Convert to fraction form
    103,138.50/154,682.66 = 43,134.50/x
  3. Step 3: Cross multiply
    103,138.50x = 154,682.66 × 43,134.50
  4. Step 4: Simplify right side
    103,138.50x = 6,672,159,197.77
  5. Step 5: Solve for x
    x = 6,672,159,197.77/103,138.50
  6. Step 6: Final answer
    x = 64,691.26

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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.