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Finding the Fourth Proportional to 65,324.16, 97,986.78 and 20,950.98

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Solution

The fourth proportional to 65,324.16, 97,986.78 and 20,950.98 is: 31,426.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,324.16 : 97,986.78 = 20,950.98 : x
  2. Step 2: Convert to fraction form
    65,324.16/97,986.78 = 20,950.98/x
  3. Step 3: Cross multiply
    65,324.16x = 97,986.78 × 20,950.98
  4. Step 4: Simplify right side
    65,324.16x = 2,052,919,068.04
  5. Step 5: Solve for x
    x = 2,052,919,068.04/65,324.16
  6. Step 6: Final answer
    x = 31,426.64

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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.