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Finding the Fourth Proportional to 65,107.55, 97,643.10 and 20,747.90

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Solution

The fourth proportional to 65,107.55, 97,643.10 and 20,747.90 is: 31,116.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,107.55 : 97,643.10 = 20,747.90 : x
  2. Step 2: Convert to fraction form
    65,107.55/97,643.10 = 20,747.90/x
  3. Step 3: Cross multiply
    65,107.55x = 97,643.10 × 20,747.90
  4. Step 4: Simplify right side
    65,107.55x = 2,025,889,274.49
  5. Step 5: Solve for x
    x = 2,025,889,274.49/65,107.55
  6. Step 6: Final answer
    x = 31,116.04

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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.