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Finding the Fourth Proportional to 172,740.96, 238,442.24 and 101,144

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Solution

The fourth proportional to 172,740.96, 238,442.24 and 101,144 is: 139,613.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,740.96 : 238,442.24 = 101,144 : x
  2. Step 2: Convert to fraction form
    172,740.96/238,442.24 = 101,144/x
  3. Step 3: Cross multiply
    172,740.96x = 238,442.24 × 101,144
  4. Step 4: Simplify right side
    172,740.96x = 24,117,001,922.56
  5. Step 5: Solve for x
    x = 24,117,001,922.56/172,740.96
  6. Step 6: Final answer
    x = 139,613.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.