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Finding the Fourth Proportional to 172,461,104.80, 258,691,657.20 and 86,212,823.20

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Solution

The fourth proportional to 172,461,104.80, 258,691,657.20 and 86,212,823.20 is: 129,319,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,461,104.80 : 258,691,657.20 = 86,212,823.20 : x
  2. Step 2: Convert to fraction form
    172,461,104.80/258,691,657.20 = 86,212,823.20/x
  3. Step 3: Cross multiply
    172,461,104.80x = 258,691,657.20 × 86,212,823.20
  4. Step 4: Simplify right side
    172,461,104.80x = 22,302,538,105,498,608
  5. Step 5: Solve for x
    x = 22,302,538,105,498,608/172,461,104.80
  6. Step 6: Final answer
    x = 129,319,234.80

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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.