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Finding the Fourth Proportional to 169,878.45, 254,819.21 and 51,549.78

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Solution

The fourth proportional to 169,878.45, 254,819.21 and 51,549.78 is: 77,325.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,878.45 : 254,819.21 = 51,549.78 : x
  2. Step 2: Convert to fraction form
    169,878.45/254,819.21 = 51,549.78/x
  3. Step 3: Cross multiply
    169,878.45x = 254,819.21 × 51,549.78
  4. Step 4: Simplify right side
    169,878.45x = 13,135,874,913.10
  5. Step 5: Solve for x
    x = 13,135,874,913.10/169,878.45
  6. Step 6: Final answer
    x = 77,325.14

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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.