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Finding the Fourth Proportional to 42,734.60, 64,109.64 and 21,398.44

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Solution

The fourth proportional to 42,734.60, 64,109.64 and 21,398.44 is: 32,101.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,734.60 : 64,109.64 = 21,398.44 : x
  2. Step 2: Convert to fraction form
    42,734.60/64,109.64 = 21,398.44/x
  3. Step 3: Cross multiply
    42,734.60x = 64,109.64 × 21,398.44
  4. Step 4: Simplify right side
    42,734.60x = 1,371,846,124.69
  5. Step 5: Solve for x
    x = 1,371,846,124.69/42,734.60
  6. Step 6: Final answer
    x = 32,101.54

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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.