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Finding the Fourth Proportional to 129,912, 194,864.64 and 35,151.36

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Solution

The fourth proportional to 129,912, 194,864.64 and 35,151.36 is: 52,726.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,912 : 194,864.64 = 35,151.36 : x
  2. Step 2: Convert to fraction form
    129,912/194,864.64 = 35,151.36/x
  3. Step 3: Cross multiply
    129,912x = 194,864.64 × 35,151.36
  4. Step 4: Simplify right side
    129,912x = 6,849,757,111.91
  5. Step 5: Solve for x
    x = 6,849,757,111.91/129,912
  6. Step 6: Final answer
    x = 52,726.13

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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.