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Finding the Fourth Proportional to 129,643, 194,497.31 and 36,148.75

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Solution

The fourth proportional to 129,643, 194,497.31 and 36,148.75 is: 54,232.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,643 : 194,497.31 = 36,148.75 : x
  2. Step 2: Convert to fraction form
    129,643/194,497.31 = 36,148.75/x
  3. Step 3: Cross multiply
    129,643x = 194,497.31 × 36,148.75
  4. Step 4: Simplify right side
    129,643x = 7,030,834,634.86
  5. Step 5: Solve for x
    x = 7,030,834,634.86/129,643
  6. Step 6: Final answer
    x = 54,232.27

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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.