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Finding the Fourth Proportional to 64,696.96, 97,037.76 and 20,321.92

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Solution

The fourth proportional to 64,696.96, 97,037.76 and 20,321.92 is: 30,480.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,696.96 : 97,037.76 = 20,321.92 : x
  2. Step 2: Convert to fraction form
    64,696.96/97,037.76 = 20,321.92/x
  3. Step 3: Cross multiply
    64,696.96x = 97,037.76 × 20,321.92
  4. Step 4: Simplify right side
    64,696.96x = 1,971,993,595.70
  5. Step 5: Solve for x
    x = 1,971,993,595.70/64,696.96
  6. Step 6: Final answer
    x = 30,480.47

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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.