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Finding the Fourth Proportional to 71,970.36, 107,914.80 and 49,507.44

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Solution

The fourth proportional to 71,970.36, 107,914.80 and 49,507.44 is: 74,233.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,970.36 : 107,914.80 = 49,507.44 : x
  2. Step 2: Convert to fraction form
    71,970.36/107,914.80 = 49,507.44/x
  3. Step 3: Cross multiply
    71,970.36x = 107,914.80 × 49,507.44
  4. Step 4: Simplify right side
    71,970.36x = 5,342,585,486.11
  5. Step 5: Solve for x
    x = 5,342,585,486.11/71,970.36
  6. Step 6: Final answer
    x = 74,233.14

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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.