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Finding the Fourth Proportional to 53,613.66, 80,602.74 and 43,824

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Solution

The fourth proportional to 53,613.66, 80,602.74 and 43,824 is: 65,884.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,613.66 : 80,602.74 = 43,824 : x
  2. Step 2: Convert to fraction form
    53,613.66/80,602.74 = 43,824/x
  3. Step 3: Cross multiply
    53,613.66x = 80,602.74 × 43,824
  4. Step 4: Simplify right side
    53,613.66x = 3,532,334,477.76
  5. Step 5: Solve for x
    x = 3,532,334,477.76/53,613.66
  6. Step 6: Final answer
    x = 65,884.97

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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.