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Finding the Fourth Proportional to 65,114.64, 97,679.10 and 20,725.80

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Solution

The fourth proportional to 65,114.64, 97,679.10 and 20,725.80 is: 31,090.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,114.64 : 97,679.10 = 20,725.80 : x
  2. Step 2: Convert to fraction form
    65,114.64/97,679.10 = 20,725.80/x
  3. Step 3: Cross multiply
    65,114.64x = 97,679.10 × 20,725.80
  4. Step 4: Simplify right side
    65,114.64x = 2,024,477,490.78
  5. Step 5: Solve for x
    x = 2,024,477,490.78/65,114.64
  6. Step 6: Final answer
    x = 31,090.97

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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.