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Finding the Fourth Proportional to 64,709.75, 97,064.64 and 20,933.75

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Solution

The fourth proportional to 64,709.75, 97,064.64 and 20,933.75 is: 31,400.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,709.75 : 97,064.64 = 20,933.75 : x
  2. Step 2: Convert to fraction form
    64,709.75/97,064.64 = 20,933.75/x
  3. Step 3: Cross multiply
    64,709.75x = 97,064.64 × 20,933.75
  4. Step 4: Simplify right side
    64,709.75x = 2,031,926,907.60
  5. Step 5: Solve for x
    x = 2,031,926,907.60/64,709.75
  6. Step 6: Final answer
    x = 31,400.63

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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.