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Finding the Fourth Proportional to 89,000, 122,820.36 and 49,256

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Solution

The fourth proportional to 89,000, 122,820.36 and 49,256 is: 67,973.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,000 : 122,820.36 = 49,256 : x
  2. Step 2: Convert to fraction form
    89,000/122,820.36 = 49,256/x
  3. Step 3: Cross multiply
    89,000x = 122,820.36 × 49,256
  4. Step 4: Simplify right side
    89,000x = 6,049,639,652.16
  5. Step 5: Solve for x
    x = 6,049,639,652.16/89,000
  6. Step 6: Final answer
    x = 67,973.48

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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.