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Finding the Fourth Proportional to 71,291.68, 106,903.92 and 21,352.48

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Solution

The fourth proportional to 71,291.68, 106,903.92 and 21,352.48 is: 32,018.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,291.68 : 106,903.92 = 21,352.48 : x
  2. Step 2: Convert to fraction form
    71,291.68/106,903.92 = 21,352.48/x
  3. Step 3: Cross multiply
    71,291.68x = 106,903.92 × 21,352.48
  4. Step 4: Simplify right side
    71,291.68x = 2,282,663,813.72
  5. Step 5: Solve for x
    x = 2,282,663,813.72/71,291.68
  6. Step 6: Final answer
    x = 32,018.66

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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.