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Finding the Fourth Proportional to 65,140.30, 97,680.37 and 27,680.40

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Solution

The fourth proportional to 65,140.30, 97,680.37 and 27,680.40 is: 41,507.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,140.30 : 97,680.37 = 27,680.40 : x
  2. Step 2: Convert to fraction form
    65,140.30/97,680.37 = 27,680.40/x
  3. Step 3: Cross multiply
    65,140.30x = 97,680.37 × 27,680.40
  4. Step 4: Simplify right side
    65,140.30x = 2,703,831,713.75
  5. Step 5: Solve for x
    x = 2,703,831,713.75/65,140.30
  6. Step 6: Final answer
    x = 41,507.82

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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.