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Finding the Fourth Proportional to 106,967.60, 147,630.83 and 61,636.76

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Solution

The fourth proportional to 106,967.60, 147,630.83 and 61,636.76 is: 85,067.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,967.60 : 147,630.83 = 61,636.76 : x
  2. Step 2: Convert to fraction form
    106,967.60/147,630.83 = 61,636.76/x
  3. Step 3: Cross multiply
    106,967.60x = 147,630.83 × 61,636.76
  4. Step 4: Simplify right side
    106,967.60x = 9,099,484,990.97
  5. Step 5: Solve for x
    x = 9,099,484,990.97/106,967.60
  6. Step 6: Final answer
    x = 85,067.68

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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.