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Finding the Fourth Proportional to 193,208.32, 266,528.64 and 128,788.48

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Solution

The fourth proportional to 193,208.32, 266,528.64 and 128,788.48 is: 177,662.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,208.32 : 266,528.64 = 128,788.48 : x
  2. Step 2: Convert to fraction form
    193,208.32/266,528.64 = 128,788.48/x
  3. Step 3: Cross multiply
    193,208.32x = 266,528.64 × 128,788.48
  4. Step 4: Simplify right side
    193,208.32x = 34,325,818,422.07
  5. Step 5: Solve for x
    x = 34,325,818,422.07/193,208.32
  6. Step 6: Final answer
    x = 177,662.22

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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.