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Finding the Fourth Proportional to 64,952.60, 97,431.62 and 20,578.37

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Solution

The fourth proportional to 64,952.60, 97,431.62 and 20,578.37 is: 30,868.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,952.60 : 97,431.62 = 20,578.37 : x
  2. Step 2: Convert to fraction form
    64,952.60/97,431.62 = 20,578.37/x
  3. Step 3: Cross multiply
    64,952.60x = 97,431.62 × 20,578.37
  4. Step 4: Simplify right side
    64,952.60x = 2,004,983,490.35
  5. Step 5: Solve for x
    x = 2,004,983,490.35/64,952.60
  6. Step 6: Final answer
    x = 30,868.41

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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.