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Finding the Fourth Proportional to 172,420.86, 258,295.08 and 97,313.82

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Solution

The fourth proportional to 172,420.86, 258,295.08 and 97,313.82 is: 145,780.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,420.86 : 258,295.08 = 97,313.82 : x
  2. Step 2: Convert to fraction form
    172,420.86/258,295.08 = 97,313.82/x
  3. Step 3: Cross multiply
    172,420.86x = 258,295.08 × 97,313.82
  4. Step 4: Simplify right side
    172,420.86x = 25,135,680,922.01
  5. Step 5: Solve for x
    x = 25,135,680,922.01/172,420.86
  6. Step 6: Final answer
    x = 145,780.97

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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.