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Finding the Fourth Proportional to 147,405.74, 203,425.36 and 83,754.32

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Solution

The fourth proportional to 147,405.74, 203,425.36 and 83,754.32 is: 115,584.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,405.74 : 203,425.36 = 83,754.32 : x
  2. Step 2: Convert to fraction form
    147,405.74/203,425.36 = 83,754.32/x
  3. Step 3: Cross multiply
    147,405.74x = 203,425.36 × 83,754.32
  4. Step 4: Simplify right side
    147,405.74x = 17,037,751,471.04
  5. Step 5: Solve for x
    x = 17,037,751,471.04/147,405.74
  6. Step 6: Final answer
    x = 115,584.05

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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.