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Finding the Fourth Proportional to 71,997.64, 107,984.16 and 19,394.83

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Solution

The fourth proportional to 71,997.64, 107,984.16 and 19,394.83 is: 29,088.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,997.64 : 107,984.16 = 19,394.83 : x
  2. Step 2: Convert to fraction form
    71,997.64/107,984.16 = 19,394.83/x
  3. Step 3: Cross multiply
    71,997.64x = 107,984.16 × 19,394.83
  4. Step 4: Simplify right side
    71,997.64x = 2,094,334,425.89
  5. Step 5: Solve for x
    x = 2,094,334,425.89/71,997.64
  6. Step 6: Final answer
    x = 29,088.93

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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.