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Finding the Fourth Proportional to 129,642.42, 194,463.59 and 31,146.42

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Solution

The fourth proportional to 129,642.42, 194,463.59 and 31,146.42 is: 46,719.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,642.42 : 194,463.59 = 31,146.42 : x
  2. Step 2: Convert to fraction form
    129,642.42/194,463.59 = 31,146.42/x
  3. Step 3: Cross multiply
    129,642.42x = 194,463.59 × 31,146.42
  4. Step 4: Simplify right side
    129,642.42x = 6,056,844,493.12
  5. Step 5: Solve for x
    x = 6,056,844,493.12/129,642.42
  6. Step 6: Final answer
    x = 46,719.62

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1.5x scale

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.