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Finding the Fourth Proportional to 71,208.71, 98,267.85 and 40,983

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Solution

The fourth proportional to 71,208.71, 98,267.85 and 40,983 is: 56,556.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,208.71 : 98,267.85 = 40,983 : x
  2. Step 2: Convert to fraction form
    71,208.71/98,267.85 = 40,983/x
  3. Step 3: Cross multiply
    71,208.71x = 98,267.85 × 40,983
  4. Step 4: Simplify right side
    71,208.71x = 4,027,311,296.55
  5. Step 5: Solve for x
    x = 4,027,311,296.55/71,208.71
  6. Step 6: Final answer
    x = 56,556.45

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1.5x scale

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.