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Finding the Fourth Proportional to 71,097.30, 106,647.75 and 18,509.22

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Solution

The fourth proportional to 71,097.30, 106,647.75 and 18,509.22 is: 27,764.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,097.30 : 106,647.75 = 18,509.22 : x
  2. Step 2: Convert to fraction form
    71,097.30/106,647.75 = 18,509.22/x
  3. Step 3: Cross multiply
    71,097.30x = 106,647.75 × 18,509.22
  4. Step 4: Simplify right side
    71,097.30x = 1,973,966,667.26
  5. Step 5: Solve for x
    x = 1,973,966,667.26/71,097.30
  6. Step 6: Final answer
    x = 27,764.30

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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.