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Finding the Fourth Proportional to 134,175.64, 201,251.12 and 45,419

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Solution

The fourth proportional to 134,175.64, 201,251.12 and 45,419 is: 68,124.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,175.64 : 201,251.12 = 45,419 : x
  2. Step 2: Convert to fraction form
    134,175.64/201,251.12 = 45,419/x
  3. Step 3: Cross multiply
    134,175.64x = 201,251.12 × 45,419
  4. Step 4: Simplify right side
    134,175.64x = 9,140,624,619.28
  5. Step 5: Solve for x
    x = 9,140,624,619.28/134,175.64
  6. Step 6: Final answer
    x = 68,124.32

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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.