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Finding the Fourth Proportional to 255,724.79, 383,573.31 and 78,231.81

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Solution

The fourth proportional to 255,724.79, 383,573.31 and 78,231.81 is: 117,343.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,724.79 : 383,573.31 = 78,231.81 : x
  2. Step 2: Convert to fraction form
    255,724.79/383,573.31 = 78,231.81/x
  3. Step 3: Cross multiply
    255,724.79x = 383,573.31 × 78,231.81
  4. Step 4: Simplify right side
    255,724.79x = 30,007,634,778.60
  5. Step 5: Solve for x
    x = 30,007,634,778.60/255,724.79
  6. Step 6: Final answer
    x = 117,343.47

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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.