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Finding the Fourth Proportional to 64,237, 96,315 and 30,965.44

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Solution

The fourth proportional to 64,237, 96,315 and 30,965.44 is: 46,428.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,237 : 96,315 = 30,965.44 : x
  2. Step 2: Convert to fraction form
    64,237/96,315 = 30,965.44/x
  3. Step 3: Cross multiply
    64,237x = 96,315 × 30,965.44
  4. Step 4: Simplify right side
    64,237x = 2,982,436,353.60
  5. Step 5: Solve for x
    x = 2,982,436,353.60/64,237
  6. Step 6: Final answer
    x = 46,428.64

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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.