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Finding the Fourth Proportional to 129,762.40, 194,643.60 and 126,846.40

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Solution

The fourth proportional to 129,762.40, 194,643.60 and 126,846.40 is: 190,269.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,762.40 : 194,643.60 = 126,846.40 : x
  2. Step 2: Convert to fraction form
    129,762.40/194,643.60 = 126,846.40/x
  3. Step 3: Cross multiply
    129,762.40x = 194,643.60 × 126,846.40
  4. Step 4: Simplify right side
    129,762.40x = 24,689,839,943.04
  5. Step 5: Solve for x
    x = 24,689,839,943.04/129,762.40
  6. Step 6: Final answer
    x = 190,269.60

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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.