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Finding the Fourth Proportional to 42,874.51, 64,311.76 and 17,900.96

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Solution

The fourth proportional to 42,874.51, 64,311.76 and 17,900.96 is: 26,851.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,874.51 : 64,311.76 = 17,900.96 : x
  2. Step 2: Convert to fraction form
    42,874.51/64,311.76 = 17,900.96/x
  3. Step 3: Cross multiply
    42,874.51x = 64,311.76 × 17,900.96
  4. Step 4: Simplify right side
    42,874.51x = 1,151,241,921.73
  5. Step 5: Solve for x
    x = 1,151,241,921.73/42,874.51
  6. Step 6: Final answer
    x = 26,851.43

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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.