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Finding the Fourth Proportional to 171,664, 236,844.16 and 108,065.28

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Solution

The fourth proportional to 171,664, 236,844.16 and 108,065.28 is: 149,097.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,664 : 236,844.16 = 108,065.28 : x
  2. Step 2: Convert to fraction form
    171,664/236,844.16 = 108,065.28/x
  3. Step 3: Cross multiply
    171,664x = 236,844.16 × 108,065.28
  4. Step 4: Simplify right side
    171,664x = 25,594,630,466.76
  5. Step 5: Solve for x
    x = 25,594,630,466.76/171,664
  6. Step 6: Final answer
    x = 149,097.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.