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Finding the Fourth Proportional to 135,709.24, 187,290.24 and 75,299.32

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Solution

The fourth proportional to 135,709.24, 187,290.24 and 75,299.32 is: 103,919.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,709.24 : 187,290.24 = 75,299.32 : x
  2. Step 2: Convert to fraction form
    135,709.24/187,290.24 = 75,299.32/x
  3. Step 3: Cross multiply
    135,709.24x = 187,290.24 × 75,299.32
  4. Step 4: Simplify right side
    135,709.24x = 14,102,827,714.64
  5. Step 5: Solve for x
    x = 14,102,827,714.64/135,709.24
  6. Step 6: Final answer
    x = 103,919.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.