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Finding the Fourth Proportional to 100,057.56, 138,077.40 and 54,735

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Solution

The fourth proportional to 100,057.56, 138,077.40 and 54,735 is: 75,533.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,057.56 : 138,077.40 = 54,735 : x
  2. Step 2: Convert to fraction form
    100,057.56/138,077.40 = 54,735/x
  3. Step 3: Cross multiply
    100,057.56x = 138,077.40 × 54,735
  4. Step 4: Simplify right side
    100,057.56x = 7,557,666,489
  5. Step 5: Solve for x
    x = 7,557,666,489/100,057.56
  6. Step 6: Final answer
    x = 75,533.19

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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.