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Finding the Fourth Proportional to 147,308.70, 203,287.38 and 83,647.82

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Solution

The fourth proportional to 147,308.70, 203,287.38 and 83,647.82 is: 115,434.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,308.70 : 203,287.38 = 83,647.82 : x
  2. Step 2: Convert to fraction form
    147,308.70/203,287.38 = 83,647.82/x
  3. Step 3: Cross multiply
    147,308.70x = 203,287.38 × 83,647.82
  4. Step 4: Simplify right side
    147,308.70x = 17,004,546,170.51
  5. Step 5: Solve for x
    x = 17,004,546,170.51/147,308.70
  6. Step 6: Final answer
    x = 115,434.77

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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.