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Finding the Fourth Proportional to 129,877.98, 194,822.54 and 51,009.29

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Solution

The fourth proportional to 129,877.98, 194,822.54 and 51,009.29 is: 76,516.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,877.98 : 194,822.54 = 51,009.29 : x
  2. Step 2: Convert to fraction form
    129,877.98/194,822.54 = 51,009.29/x
  3. Step 3: Cross multiply
    129,877.98x = 194,822.54 × 51,009.29
  4. Step 4: Simplify right side
    129,877.98x = 9,937,758,212.24
  5. Step 5: Solve for x
    x = 9,937,758,212.24/129,877.98
  6. Step 6: Final answer
    x = 76,516.11

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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.