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Finding the Fourth Proportional to 172,776.32, 258,828.22 and 97,669.26

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Solution

The fourth proportional to 172,776.32, 258,828.22 and 97,669.26 is: 146,313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,776.32 : 258,828.22 = 97,669.26 : x
  2. Step 2: Convert to fraction form
    172,776.32/258,828.22 = 97,669.26/x
  3. Step 3: Cross multiply
    172,776.32x = 258,828.22 × 97,669.26
  4. Step 4: Simplify right side
    172,776.32x = 25,279,560,714.52
  5. Step 5: Solve for x
    x = 25,279,560,714.52/172,776.32
  6. Step 6: Final answer
    x = 146,313.80

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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.