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Finding the Fourth Proportional to 172,641.60, 258,999.36 and 97,797.12

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Solution

The fourth proportional to 172,641.60, 258,999.36 and 97,797.12 is: 146,716.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,641.60 : 258,999.36 = 97,797.12 : x
  2. Step 2: Convert to fraction form
    172,641.60/258,999.36 = 97,797.12/x
  3. Step 3: Cross multiply
    172,641.60x = 258,999.36 × 97,797.12
  4. Step 4: Simplify right side
    172,641.60x = 25,329,391,489.84
  5. Step 5: Solve for x
    x = 25,329,391,489.84/172,641.60
  6. Step 6: Final answer
    x = 146,716.62

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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.