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Finding the Fourth Proportional to 172,962, 259,457.04 and 54,640.08

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Solution

The fourth proportional to 172,962, 259,457.04 and 54,640.08 is: 81,964.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,962 : 259,457.04 = 54,640.08 : x
  2. Step 2: Convert to fraction form
    172,962/259,457.04 = 54,640.08/x
  3. Step 3: Cross multiply
    172,962x = 259,457.04 × 54,640.08
  4. Step 4: Simplify right side
    172,962x = 14,176,753,422.16
  5. Step 5: Solve for x
    x = 14,176,753,422.16/172,962
  6. Step 6: Final answer
    x = 81,964.56

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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.