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Finding the Fourth Proportional to 172,543.84, 258,857.21 and 54,215.08

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Solution

The fourth proportional to 172,543.84, 258,857.21 and 54,215.08 is: 81,335.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,543.84 : 258,857.21 = 54,215.08 : x
  2. Step 2: Convert to fraction form
    172,543.84/258,857.21 = 54,215.08/x
  3. Step 3: Cross multiply
    172,543.84x = 258,857.21 × 54,215.08
  4. Step 4: Simplify right side
    172,543.84x = 14,033,963,837.12
  5. Step 5: Solve for x
    x = 14,033,963,837.12/172,543.84
  6. Step 6: Final answer
    x = 81,335.64

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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.