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Finding the Fourth Proportional to 106,986.96, 147,484.62 and 81,448.74

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Solution

The fourth proportional to 106,986.96, 147,484.62 and 81,448.74 is: 112,279.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,986.96 : 147,484.62 = 81,448.74 : x
  2. Step 2: Convert to fraction form
    106,986.96/147,484.62 = 81,448.74/x
  3. Step 3: Cross multiply
    106,986.96x = 147,484.62 × 81,448.74
  4. Step 4: Simplify right side
    106,986.96x = 12,012,436,468.38
  5. Step 5: Solve for x
    x = 12,012,436,468.38/106,986.96
  6. Step 6: Final answer
    x = 112,279.44

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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.