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Finding the Fourth Proportional to 172,431.48, 258,388.02 and 97,470.84

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Solution

The fourth proportional to 172,431.48, 258,388.02 and 97,470.84 is: 146,059.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,431.48 : 258,388.02 = 97,470.84 : x
  2. Step 2: Convert to fraction form
    172,431.48/258,388.02 = 97,470.84/x
  3. Step 3: Cross multiply
    172,431.48x = 258,388.02 × 97,470.84
  4. Step 4: Simplify right side
    172,431.48x = 25,185,297,355.34
  5. Step 5: Solve for x
    x = 25,185,297,355.34/172,431.48
  6. Step 6: Final answer
    x = 146,059.74

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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.