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Finding the Fourth Proportional to 71,368.90, 106,908 and 33,815.14

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Solution

The fourth proportional to 71,368.90, 106,908 and 33,815.14 is: 50,653.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,368.90 : 106,908 = 33,815.14 : x
  2. Step 2: Convert to fraction form
    71,368.90/106,908 = 33,815.14/x
  3. Step 3: Cross multiply
    71,368.90x = 106,908 × 33,815.14
  4. Step 4: Simplify right side
    71,368.90x = 3,615,108,987.12
  5. Step 5: Solve for x
    x = 3,615,108,987.12/71,368.90
  6. Step 6: Final answer
    x = 50,653.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.