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Finding the Fourth Proportional to 71,211.69, 98,271.99 and 40,986

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Solution

The fourth proportional to 71,211.69, 98,271.99 and 40,986 is: 56,560.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,211.69 : 98,271.99 = 40,986 : x
  2. Step 2: Convert to fraction form
    71,211.69/98,271.99 = 40,986/x
  3. Step 3: Cross multiply
    71,211.69x = 98,271.99 × 40,986
  4. Step 4: Simplify right side
    71,211.69x = 4,027,775,782.14
  5. Step 5: Solve for x
    x = 4,027,775,782.14/71,211.69
  6. Step 6: Final answer
    x = 56,560.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.