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Finding the Fourth Proportional to 129,871, 194,812.04 and 51,002.32

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Solution

The fourth proportional to 129,871, 194,812.04 and 51,002.32 is: 76,505.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,871 : 194,812.04 = 51,002.32 : x
  2. Step 2: Convert to fraction form
    129,871/194,812.04 = 51,002.32/x
  3. Step 3: Cross multiply
    129,871x = 194,812.04 × 51,002.32
  4. Step 4: Simplify right side
    129,871x = 9,935,866,003.93
  5. Step 5: Solve for x
    x = 9,935,866,003.93/129,871
  6. Step 6: Final answer
    x = 76,505.66

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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.