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Finding the Fourth Proportional to 172,257, 258,217.11 and 77,511.03

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Solution

The fourth proportional to 172,257, 258,217.11 and 77,511.03 is: 116,190.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,257 : 258,217.11 = 77,511.03 : x
  2. Step 2: Convert to fraction form
    172,257/258,217.11 = 77,511.03/x
  3. Step 3: Cross multiply
    172,257x = 258,217.11 × 77,511.03
  4. Step 4: Simplify right side
    172,257x = 20,014,674,159.72
  5. Step 5: Solve for x
    x = 20,014,674,159.72/172,257
  6. Step 6: Final answer
    x = 116,190.77

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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.