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Finding the Fourth Proportional to 71,275.60, 106,913.85 and 18,684.63

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Solution

The fourth proportional to 71,275.60, 106,913.85 and 18,684.63 is: 28,027.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,275.60 : 106,913.85 = 18,684.63 : x
  2. Step 2: Convert to fraction form
    71,275.60/106,913.85 = 18,684.63/x
  3. Step 3: Cross multiply
    71,275.60x = 106,913.85 × 18,684.63
  4. Step 4: Simplify right side
    71,275.60x = 1,997,645,729.13
  5. Step 5: Solve for x
    x = 1,997,645,729.13/71,275.60
  6. Step 6: Final answer
    x = 28,027.06

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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.