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Finding the Fourth Proportional to 169,976.39, 254,978.96 and 51,648.75

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Solution

The fourth proportional to 169,976.39, 254,978.96 and 51,648.75 is: 77,477.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,976.39 : 254,978.96 = 51,648.75 : x
  2. Step 2: Convert to fraction form
    169,976.39/254,978.96 = 51,648.75/x
  3. Step 3: Cross multiply
    169,976.39x = 254,978.96 × 51,648.75
  4. Step 4: Simplify right side
    169,976.39x = 13,169,344,302.06
  5. Step 5: Solve for x
    x = 13,169,344,302.06/169,976.39
  6. Step 6: Final answer
    x = 77,477.49

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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.