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Finding the Fourth Proportional to 112,565, 168,905.82 and 57,161

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Solution

The fourth proportional to 112,565, 168,905.82 and 57,161 is: 85,771.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,565 : 168,905.82 = 57,161 : x
  2. Step 2: Convert to fraction form
    112,565/168,905.82 = 57,161/x
  3. Step 3: Cross multiply
    112,565x = 168,905.82 × 57,161
  4. Step 4: Simplify right side
    112,565x = 9,654,825,577.02
  5. Step 5: Solve for x
    x = 9,654,825,577.02/112,565
  6. Step 6: Final answer
    x = 85,771.12

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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.