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Finding the Fourth Proportional to 71,988.42, 107,985.16 and 19,399.16

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Solution

The fourth proportional to 71,988.42, 107,985.16 and 19,399.16 is: 29,099.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,988.42 : 107,985.16 = 19,399.16 : x
  2. Step 2: Convert to fraction form
    71,988.42/107,985.16 = 19,399.16/x
  3. Step 3: Cross multiply
    71,988.42x = 107,985.16 × 19,399.16
  4. Step 4: Simplify right side
    71,988.42x = 2,094,821,396.47
  5. Step 5: Solve for x
    x = 2,094,821,396.47/71,988.42
  6. Step 6: Final answer
    x = 29,099.42

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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.