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Finding the Fourth Proportional to 65,123.25, 97,683.81 and 20,749.40

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Solution

The fourth proportional to 65,123.25, 97,683.81 and 20,749.40 is: 31,123.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,123.25 : 97,683.81 = 20,749.40 : x
  2. Step 2: Convert to fraction form
    65,123.25/97,683.81 = 20,749.40/x
  3. Step 3: Cross multiply
    65,123.25x = 97,683.81 × 20,749.40
  4. Step 4: Simplify right side
    65,123.25x = 2,026,880,247.30
  5. Step 5: Solve for x
    x = 2,026,880,247.30/65,123.25
  6. Step 6: Final answer
    x = 31,123.76

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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.