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Finding the Fourth Proportional to 165,653.76, 248,480.64 and 128,640

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Solution

The fourth proportional to 165,653.76, 248,480.64 and 128,640 is: 192,960

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,653.76 : 248,480.64 = 128,640 : x
  2. Step 2: Convert to fraction form
    165,653.76/248,480.64 = 128,640/x
  3. Step 3: Cross multiply
    165,653.76x = 248,480.64 × 128,640
  4. Step 4: Simplify right side
    165,653.76x = 31,964,549,529.60
  5. Step 5: Solve for x
    x = 31,964,549,529.60/165,653.76
  6. Step 6: Final answer
    x = 192,960

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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.