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Finding the Fourth Proportional to 71,534.94, 107,302.42 and 18,948.54

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Solution

The fourth proportional to 71,534.94, 107,302.42 and 18,948.54 is: 28,422.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,534.94 : 107,302.42 = 18,948.54 : x
  2. Step 2: Convert to fraction form
    71,534.94/107,302.42 = 18,948.54/x
  3. Step 3: Cross multiply
    71,534.94x = 107,302.42 × 18,948.54
  4. Step 4: Simplify right side
    71,534.94x = 2,033,224,197.47
  5. Step 5: Solve for x
    x = 2,033,224,197.47/71,534.94
  6. Step 6: Final answer
    x = 28,422.81

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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.