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Finding the Fourth Proportional to 169,838.78, 254,758.77 and 51,511.14

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Solution

The fourth proportional to 169,838.78, 254,758.77 and 51,511.14 is: 77,266.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,838.78 : 254,758.77 = 51,511.14 : x
  2. Step 2: Convert to fraction form
    169,838.78/254,758.77 = 51,511.14/x
  3. Step 3: Cross multiply
    169,838.78x = 254,758.77 × 51,511.14
  4. Step 4: Simplify right side
    169,838.78x = 13,122,914,667.70
  5. Step 5: Solve for x
    x = 13,122,914,667.70/169,838.78
  6. Step 6: Final answer
    x = 77,266.89

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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.