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Finding the Fourth Proportional to 171,234, 256,851.81 and 60,426

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Solution

The fourth proportional to 171,234, 256,851.81 and 60,426 is: 90,639.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,234 : 256,851.81 = 60,426 : x
  2. Step 2: Convert to fraction form
    171,234/256,851.81 = 60,426/x
  3. Step 3: Cross multiply
    171,234x = 256,851.81 × 60,426
  4. Step 4: Simplify right side
    171,234x = 15,520,527,471.06
  5. Step 5: Solve for x
    x = 15,520,527,471.06/171,234
  6. Step 6: Final answer
    x = 90,639.29

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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.