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Finding the Fourth Proportional to 129,633.64, 178,933.96 and 75,199.57

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Solution

The fourth proportional to 129,633.64, 178,933.96 and 75,199.57 is: 103,798.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,633.64 : 178,933.96 = 75,199.57 : x
  2. Step 2: Convert to fraction form
    129,633.64/178,933.96 = 75,199.57/x
  3. Step 3: Cross multiply
    129,633.64x = 178,933.96 × 75,199.57
  4. Step 4: Simplify right side
    129,633.64x = 13,455,756,850.40
  5. Step 5: Solve for x
    x = 13,455,756,850.40/129,633.64
  6. Step 6: Final answer
    x = 103,798.34

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1.5x scale

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.