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Finding the Fourth Proportional to 117,098.54, 161,599.12 and 71,142.54

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Solution

The fourth proportional to 117,098.54, 161,599.12 and 71,142.54 is: 98,178.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,098.54 : 161,599.12 = 71,142.54 : x
  2. Step 2: Convert to fraction form
    117,098.54/161,599.12 = 71,142.54/x
  3. Step 3: Cross multiply
    117,098.54x = 161,599.12 × 71,142.54
  4. Step 4: Simplify right side
    117,098.54x = 11,496,571,050.57
  5. Step 5: Solve for x
    x = 11,496,571,050.57/117,098.54
  6. Step 6: Final answer
    x = 98,178.61

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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.