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Finding the Fourth Proportional to 51,637, 71,248.08 and 30,408.52

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Solution

The fourth proportional to 51,637, 71,248.08 and 30,408.52 is: 41,957.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,637 : 71,248.08 = 30,408.52 : x
  2. Step 2: Convert to fraction form
    51,637/71,248.08 = 30,408.52/x
  3. Step 3: Cross multiply
    51,637x = 71,248.08 × 30,408.52
  4. Step 4: Simplify right side
    51,637x = 2,166,548,665.64
  5. Step 5: Solve for x
    x = 2,166,548,665.64/51,637
  6. Step 6: Final answer
    x = 41,957.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.