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Finding the Fourth Proportional to 255,981.96, 384,102.54 and 172,701

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Solution

The fourth proportional to 255,981.96, 384,102.54 and 172,701 is: 259,138.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,981.96 : 384,102.54 = 172,701 : x
  2. Step 2: Convert to fraction form
    255,981.96/384,102.54 = 172,701/x
  3. Step 3: Cross multiply
    255,981.96x = 384,102.54 × 172,701
  4. Step 4: Simplify right side
    255,981.96x = 66,334,892,760.54
  5. Step 5: Solve for x
    x = 66,334,892,760.54/255,981.96
  6. Step 6: Final answer
    x = 259,138.94

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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.