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Finding the Fourth Proportional to 90,199.72, 135,322.14 and 34,039.72

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Solution

The fourth proportional to 90,199.72, 135,322.14 and 34,039.72 is: 51,068.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,199.72 : 135,322.14 = 34,039.72 : x
  2. Step 2: Convert to fraction form
    90,199.72/135,322.14 = 34,039.72/x
  3. Step 3: Cross multiply
    90,199.72x = 135,322.14 × 34,039.72
  4. Step 4: Simplify right side
    90,199.72x = 4,606,327,755.40
  5. Step 5: Solve for x
    x = 4,606,327,755.40/90,199.72
  6. Step 6: Final answer
    x = 51,068.09

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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.