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Finding the Fourth Proportional to 71,419.62, 107,036.13 and 39,828.42

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Solution

The fourth proportional to 71,419.62, 107,036.13 and 39,828.42 is: 59,690.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,419.62 : 107,036.13 = 39,828.42 : x
  2. Step 2: Convert to fraction form
    71,419.62/107,036.13 = 39,828.42/x
  3. Step 3: Cross multiply
    71,419.62x = 107,036.13 × 39,828.42
  4. Step 4: Simplify right side
    71,419.62x = 4,263,079,940.81
  5. Step 5: Solve for x
    x = 4,263,079,940.81/71,419.62
  6. Step 6: Final answer
    x = 59,690.60

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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.