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Finding the Fourth Proportional to 65,393.12, 97,961.02 and 43,138.51

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Solution

The fourth proportional to 65,393.12, 97,961.02 and 43,138.51 is: 64,622.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,393.12 : 97,961.02 = 43,138.51 : x
  2. Step 2: Convert to fraction form
    65,393.12/97,961.02 = 43,138.51/x
  3. Step 3: Cross multiply
    65,393.12x = 97,961.02 × 43,138.51
  4. Step 4: Simplify right side
    65,393.12x = 4,225,892,440.88
  5. Step 5: Solve for x
    x = 4,225,892,440.88/65,393.12
  6. Step 6: Final answer
    x = 64,622.89

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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.