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Finding the Fourth Proportional to 172,984.80, 259,485.30 and 54,665.40

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Solution

The fourth proportional to 172,984.80, 259,485.30 and 54,665.40 is: 82,000.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,984.80 : 259,485.30 = 54,665.40 : x
  2. Step 2: Convert to fraction form
    172,984.80/259,485.30 = 54,665.40/x
  3. Step 3: Cross multiply
    172,984.80x = 259,485.30 × 54,665.40
  4. Step 4: Simplify right side
    172,984.80x = 14,184,867,718.62
  5. Step 5: Solve for x
    x = 14,184,867,718.62/172,984.80
  6. Step 6: Final answer
    x = 82,000.66

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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.