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Finding the Fourth Proportional to 195,280.92, 269,342.95 and 137,860.38

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Solution

The fourth proportional to 195,280.92, 269,342.95 and 137,860.38 is: 190,145.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,280.92 : 269,342.95 = 137,860.38 : x
  2. Step 2: Convert to fraction form
    195,280.92/269,342.95 = 137,860.38/x
  3. Step 3: Cross multiply
    195,280.92x = 269,342.95 × 137,860.38
  4. Step 4: Simplify right side
    195,280.92x = 37,131,721,437.32
  5. Step 5: Solve for x
    x = 37,131,721,437.32/195,280.92
  6. Step 6: Final answer
    x = 190,145.16

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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.