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Finding the Fourth Proportional to 65,037.72, 97,564.86 and 20,648.64

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Solution

The fourth proportional to 65,037.72, 97,564.86 and 20,648.64 is: 30,975.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,037.72 : 97,564.86 = 20,648.64 : x
  2. Step 2: Convert to fraction form
    65,037.72/97,564.86 = 20,648.64/x
  3. Step 3: Cross multiply
    65,037.72x = 97,564.86 × 20,648.64
  4. Step 4: Simplify right side
    65,037.72x = 2,014,581,670.79
  5. Step 5: Solve for x
    x = 2,014,581,670.79/65,037.72
  6. Step 6: Final answer
    x = 30,975.59

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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.