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Finding the Fourth Proportional to 172,330.46, 258,495.76 and 54,011

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Solution

The fourth proportional to 172,330.46, 258,495.76 and 54,011 is: 81,016.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,330.46 : 258,495.76 = 54,011 : x
  2. Step 2: Convert to fraction form
    172,330.46/258,495.76 = 54,011/x
  3. Step 3: Cross multiply
    172,330.46x = 258,495.76 × 54,011
  4. Step 4: Simplify right side
    172,330.46x = 13,961,614,493.36
  5. Step 5: Solve for x
    x = 13,961,614,493.36/172,330.46
  6. Step 6: Final answer
    x = 81,016.52

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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.