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Finding the Fourth Proportional to 64,977.88, 97,388.28 and 31,648

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Solution

The fourth proportional to 64,977.88, 97,388.28 and 31,648 is: 47,433.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,977.88 : 97,388.28 = 31,648 : x
  2. Step 2: Convert to fraction form
    64,977.88/97,388.28 = 31,648/x
  3. Step 3: Cross multiply
    64,977.88x = 97,388.28 × 31,648
  4. Step 4: Simplify right side
    64,977.88x = 3,082,144,285.44
  5. Step 5: Solve for x
    x = 3,082,144,285.44/64,977.88
  6. Step 6: Final answer
    x = 47,433.75

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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.