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Finding the Fourth Proportional to 71,569.31, 107,343.02 and 18,978.33

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Solution

The fourth proportional to 71,569.31, 107,343.02 and 18,978.33 is: 28,464.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,569.31 : 107,343.02 = 18,978.33 : x
  2. Step 2: Convert to fraction form
    71,569.31/107,343.02 = 18,978.33/x
  3. Step 3: Cross multiply
    71,569.31x = 107,343.02 × 18,978.33
  4. Step 4: Simplify right side
    71,569.31x = 2,037,191,706.74
  5. Step 5: Solve for x
    x = 2,037,191,706.74/71,569.31
  6. Step 6: Final answer
    x = 28,464.60

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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.