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Finding the Fourth Proportional to 71,071.76, 106,669.02 and 28,975.08

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Solution

The fourth proportional to 71,071.76, 106,669.02 and 28,975.08 is: 43,487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,071.76 : 106,669.02 = 28,975.08 : x
  2. Step 2: Convert to fraction form
    71,071.76/106,669.02 = 28,975.08/x
  3. Step 3: Cross multiply
    71,071.76x = 106,669.02 × 28,975.08
  4. Step 4: Simplify right side
    71,071.76x = 3,090,743,388.02
  5. Step 5: Solve for x
    x = 3,090,743,388.02/71,071.76
  6. Step 6: Final answer
    x = 43,487.64

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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.