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Finding the Fourth Proportional to 64,691.40, 97,037.10 and 20,322

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Solution

The fourth proportional to 64,691.40, 97,037.10 and 20,322 is: 30,483

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,691.40 : 97,037.10 = 20,322 : x
  2. Step 2: Convert to fraction form
    64,691.40/97,037.10 = 20,322/x
  3. Step 3: Cross multiply
    64,691.40x = 97,037.10 × 20,322
  4. Step 4: Simplify right side
    64,691.40x = 1,971,987,946.20
  5. Step 5: Solve for x
    x = 1,971,987,946.20/64,691.40
  6. Step 6: Final answer
    x = 30,483

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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.