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Finding the Fourth Proportional to 85,741, 118,322.64 and 48,016.12

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Solution

The fourth proportional to 85,741, 118,322.64 and 48,016.12 is: 66,262.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,741 : 118,322.64 = 48,016.12 : x
  2. Step 2: Convert to fraction form
    85,741/118,322.64 = 48,016.12/x
  3. Step 3: Cross multiply
    85,741x = 118,322.64 × 48,016.12
  4. Step 4: Simplify right side
    85,741x = 5,681,394,080.96
  5. Step 5: Solve for x
    x = 5,681,394,080.96/85,741
  6. Step 6: Final answer
    x = 66,262.28

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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.