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Finding the Fourth Proportional to 164,906.40, 247,359.60 and 105,857.40

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Solution

The fourth proportional to 164,906.40, 247,359.60 and 105,857.40 is: 158,786.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,906.40 : 247,359.60 = 105,857.40 : x
  2. Step 2: Convert to fraction form
    164,906.40/247,359.60 = 105,857.40/x
  3. Step 3: Cross multiply
    164,906.40x = 247,359.60 × 105,857.40
  4. Step 4: Simplify right side
    164,906.40x = 26,184,844,121.04
  5. Step 5: Solve for x
    x = 26,184,844,121.04/164,906.40
  6. Step 6: Final answer
    x = 158,786.10

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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.