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Finding the Fourth Proportional to 103,287.56, 142,271.28 and 73,020.80

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Solution

The fourth proportional to 103,287.56, 142,271.28 and 73,020.80 is: 100,580.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,287.56 : 142,271.28 = 73,020.80 : x
  2. Step 2: Convert to fraction form
    103,287.56/142,271.28 = 73,020.80/x
  3. Step 3: Cross multiply
    103,287.56x = 142,271.28 × 73,020.80
  4. Step 4: Simplify right side
    103,287.56x = 10,388,762,682.62
  5. Step 5: Solve for x
    x = 10,388,762,682.62/103,287.56
  6. Step 6: Final answer
    x = 100,580.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.