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Finding the Fourth Proportional to 169,843.60, 254,838.30 and 86,737.60

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Solution

The fourth proportional to 169,843.60, 254,838.30 and 86,737.60 is: 130,143.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,843.60 : 254,838.30 = 86,737.60 : x
  2. Step 2: Convert to fraction form
    169,843.60/254,838.30 = 86,737.60/x
  3. Step 3: Cross multiply
    169,843.60x = 254,838.30 × 86,737.60
  4. Step 4: Simplify right side
    169,843.60x = 22,104,062,530.08
  5. Step 5: Solve for x
    x = 22,104,062,530.08/169,843.60
  6. Step 6: Final answer
    x = 130,143.63

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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.