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Finding the Fourth Proportional to 65,114.70, 97,736.85 and 31,872.30

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Solution

The fourth proportional to 65,114.70, 97,736.85 and 31,872.30 is: 47,840.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,114.70 : 97,736.85 = 31,872.30 : x
  2. Step 2: Convert to fraction form
    65,114.70/97,736.85 = 31,872.30/x
  3. Step 3: Cross multiply
    65,114.70x = 97,736.85 × 31,872.30
  4. Step 4: Simplify right side
    65,114.70x = 3,115,098,204.26
  5. Step 5: Solve for x
    x = 3,115,098,204.26/65,114.70
  6. Step 6: Final answer
    x = 47,840.17

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1.5x scale

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.