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Finding the Fourth Proportional to 71,148.32, 106,724.40 and 18,556.64

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Solution

The fourth proportional to 71,148.32, 106,724.40 and 18,556.64 is: 27,835.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,148.32 : 106,724.40 = 18,556.64 : x
  2. Step 2: Convert to fraction form
    71,148.32/106,724.40 = 18,556.64/x
  3. Step 3: Cross multiply
    71,148.32x = 106,724.40 × 18,556.64
  4. Step 4: Simplify right side
    71,148.32x = 1,980,446,270.02
  5. Step 5: Solve for x
    x = 1,980,446,270.02/71,148.32
  6. Step 6: Final answer
    x = 27,835.46

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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.