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Finding the Fourth Proportional to 192,400.40, 265,340.64 and 120,787.08

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Solution

The fourth proportional to 192,400.40, 265,340.64 and 120,787.08 is: 166,578.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,400.40 : 265,340.64 = 120,787.08 : x
  2. Step 2: Convert to fraction form
    192,400.40/265,340.64 = 120,787.08/x
  3. Step 3: Cross multiply
    192,400.40x = 265,340.64 × 120,787.08
  4. Step 4: Simplify right side
    192,400.40x = 32,049,721,110.93
  5. Step 5: Solve for x
    x = 32,049,721,110.93/192,400.40
  6. Step 6: Final answer
    x = 166,578.25

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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.