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Finding the Fourth Proportional to 199,590.42, 299,389.89 and 71,515.08

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Solution

The fourth proportional to 199,590.42, 299,389.89 and 71,515.08 is: 107,274.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,590.42 : 299,389.89 = 71,515.08 : x
  2. Step 2: Convert to fraction form
    199,590.42/299,389.89 = 71,515.08/x
  3. Step 3: Cross multiply
    199,590.42x = 299,389.89 × 71,515.08
  4. Step 4: Simplify right side
    199,590.42x = 21,410,890,437.59
  5. Step 5: Solve for x
    x = 21,410,890,437.59/199,590.42
  6. Step 6: Final answer
    x = 107,274.14

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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.