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Finding the Fourth Proportional to 65,021.69, 97,535.91 and 20,651.91

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Solution

The fourth proportional to 65,021.69, 97,535.91 and 20,651.91 is: 30,978.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,021.69 : 97,535.91 = 20,651.91 : x
  2. Step 2: Convert to fraction form
    65,021.69/97,535.91 = 20,651.91/x
  3. Step 3: Cross multiply
    65,021.69x = 97,535.91 × 20,651.91
  4. Step 4: Simplify right side
    65,021.69x = 2,014,303,095.41
  5. Step 5: Solve for x
    x = 2,014,303,095.41/65,021.69
  6. Step 6: Final answer
    x = 30,978.94

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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.