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Finding the Fourth Proportional to 106,940, 147,610.04 and 61,648.24

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Solution

The fourth proportional to 106,940, 147,610.04 and 61,648.24 is: 85,093.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,940 : 147,610.04 = 61,648.24 : x
  2. Step 2: Convert to fraction form
    106,940/147,610.04 = 61,648.24/x
  3. Step 3: Cross multiply
    106,940x = 147,610.04 × 61,648.24
  4. Step 4: Simplify right side
    106,940x = 9,099,899,172.33
  5. Step 5: Solve for x
    x = 9,099,899,172.33/106,940
  6. Step 6: Final answer
    x = 85,093.50

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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.