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Finding the Fourth Proportional to 255,112.41, 382,723.97 and 77,614.81

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Solution

The fourth proportional to 255,112.41, 382,723.97 and 77,614.81 is: 116,439.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,112.41 : 382,723.97 = 77,614.81 : x
  2. Step 2: Convert to fraction form
    255,112.41/382,723.97 = 77,614.81/x
  3. Step 3: Cross multiply
    255,112.41x = 382,723.97 × 77,614.81
  4. Step 4: Simplify right side
    255,112.41x = 29,705,046,300.38
  5. Step 5: Solve for x
    x = 29,705,046,300.38/255,112.41
  6. Step 6: Final answer
    x = 116,439.05

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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.