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Finding the Fourth Proportional to 170,908.49, 256,414.64 and 121,084.98

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Solution

The fourth proportional to 170,908.49, 256,414.64 and 121,084.98 is: 181,664.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,908.49 : 256,414.64 = 121,084.98 : x
  2. Step 2: Convert to fraction form
    170,908.49/256,414.64 = 121,084.98/x
  3. Step 3: Cross multiply
    170,908.49x = 256,414.64 × 121,084.98
  4. Step 4: Simplify right side
    170,908.49x = 31,047,960,950.68
  5. Step 5: Solve for x
    x = 31,047,960,950.68/170,908.49
  6. Step 6: Final answer
    x = 181,664.25

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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.