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Finding the Fourth Proportional to 129,996, 194,969.34 and 63,369.12

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Solution

The fourth proportional to 129,996, 194,969.34 and 63,369.12 is: 95,041.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,996 : 194,969.34 = 63,369.12 : x
  2. Step 2: Convert to fraction form
    129,996/194,969.34 = 63,369.12/x
  3. Step 3: Cross multiply
    129,996x = 194,969.34 × 63,369.12
  4. Step 4: Simplify right side
    129,996x = 12,355,035,502.78
  5. Step 5: Solve for x
    x = 12,355,035,502.78/129,996
  6. Step 6: Final answer
    x = 95,041.66

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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.