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Finding the Fourth Proportional to 103,288.64, 154,958.56 and 29,416

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Solution

The fourth proportional to 103,288.64, 154,958.56 and 29,416 is: 44,131.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,288.64 : 154,958.56 = 29,416 : x
  2. Step 2: Convert to fraction form
    103,288.64/154,958.56 = 29,416/x
  3. Step 3: Cross multiply
    103,288.64x = 154,958.56 × 29,416
  4. Step 4: Simplify right side
    103,288.64x = 4,558,261,000.96
  5. Step 5: Solve for x
    x = 4,558,261,000.96/103,288.64
  6. Step 6: Final answer
    x = 44,131.29

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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.