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Finding the Fourth Proportional to 55,102.60, 82,613.40 and 17,641

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Solution

The fourth proportional to 55,102.60, 82,613.40 and 17,641 is: 26,448.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,102.60 : 82,613.40 = 17,641 : x
  2. Step 2: Convert to fraction form
    55,102.60/82,613.40 = 17,641/x
  3. Step 3: Cross multiply
    55,102.60x = 82,613.40 × 17,641
  4. Step 4: Simplify right side
    55,102.60x = 1,457,382,989.40
  5. Step 5: Solve for x
    x = 1,457,382,989.40/55,102.60
  6. Step 6: Final answer
    x = 26,448.53

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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.