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Finding the Fourth Proportional to 105,458.56, 157,936.26 and 67,388.18

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Solution

The fourth proportional to 105,458.56, 157,936.26 and 67,388.18 is: 100,921.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,458.56 : 157,936.26 = 67,388.18 : x
  2. Step 2: Convert to fraction form
    105,458.56/157,936.26 = 67,388.18/x
  3. Step 3: Cross multiply
    105,458.56x = 157,936.26 × 67,388.18
  4. Step 4: Simplify right side
    105,458.56x = 10,643,037,024.63
  5. Step 5: Solve for x
    x = 10,643,037,024.63/105,458.56
  6. Step 6: Final answer
    x = 100,921.51

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1.5x scale

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.