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Finding the Fourth Proportional to 172,978.40, 259,443.30 and 54,661.70

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Solution

The fourth proportional to 172,978.40, 259,443.30 and 54,661.70 is: 81,984.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,978.40 : 259,443.30 = 54,661.70 : x
  2. Step 2: Convert to fraction form
    172,978.40/259,443.30 = 54,661.70/x
  3. Step 3: Cross multiply
    172,978.40x = 259,443.30 × 54,661.70
  4. Step 4: Simplify right side
    172,978.40x = 14,181,611,831.61
  5. Step 5: Solve for x
    x = 14,181,611,831.61/172,978.40
  6. Step 6: Final answer
    x = 81,984.87

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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.