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Finding the Fourth Proportional to 64,835.78, 97,253.70 and 20,467.02

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Solution

The fourth proportional to 64,835.78, 97,253.70 and 20,467.02 is: 30,700.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,835.78 : 97,253.70 = 20,467.02 : x
  2. Step 2: Convert to fraction form
    64,835.78/97,253.70 = 20,467.02/x
  3. Step 3: Cross multiply
    64,835.78x = 97,253.70 × 20,467.02
  4. Step 4: Simplify right side
    64,835.78x = 1,990,493,422.97
  5. Step 5: Solve for x
    x = 1,990,493,422.97/64,835.78
  6. Step 6: Final answer
    x = 30,700.54

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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.