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Finding the Fourth Proportional to 112,144.08, 154,757.88 and 61,842

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Solution

The fourth proportional to 112,144.08, 154,757.88 and 61,842 is: 85,341.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,144.08 : 154,757.88 = 61,842 : x
  2. Step 2: Convert to fraction form
    112,144.08/154,757.88 = 61,842/x
  3. Step 3: Cross multiply
    112,144.08x = 154,757.88 × 61,842
  4. Step 4: Simplify right side
    112,144.08x = 9,570,536,814.96
  5. Step 5: Solve for x
    x = 9,570,536,814.96/112,144.08
  6. Step 6: Final answer
    x = 85,341.44

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