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Finding the Fourth Proportional to 97,000, 145,376.62 and 43,634.92

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Solution

The fourth proportional to 97,000, 145,376.62 and 43,634.92 is: 65,396.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,000 : 145,376.62 = 43,634.92 : x
  2. Step 2: Convert to fraction form
    97,000/145,376.62 = 43,634.92/x
  3. Step 3: Cross multiply
    97,000x = 145,376.62 × 43,634.92
  4. Step 4: Simplify right side
    97,000x = 6,343,497,183.57
  5. Step 5: Solve for x
    x = 6,343,497,183.57/97,000
  6. Step 6: Final answer
    x = 65,396.88

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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.