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Finding the Fourth Proportional to 71,533.76, 107,300.57 and 18,943.29

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Solution

The fourth proportional to 71,533.76, 107,300.57 and 18,943.29 is: 28,414.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,533.76 : 107,300.57 = 18,943.29 : x
  2. Step 2: Convert to fraction form
    71,533.76/107,300.57 = 18,943.29/x
  3. Step 3: Cross multiply
    71,533.76x = 107,300.57 × 18,943.29
  4. Step 4: Simplify right side
    71,533.76x = 2,032,625,719.96
  5. Step 5: Solve for x
    x = 2,032,625,719.96/71,533.76
  6. Step 6: Final answer
    x = 28,414.92

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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.