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Finding the Fourth Proportional to 83,509, 115,242.44 and 45,783.52

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Solution

The fourth proportional to 83,509, 115,242.44 and 45,783.52 is: 63,181.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,509 : 115,242.44 = 45,783.52 : x
  2. Step 2: Convert to fraction form
    83,509/115,242.44 = 45,783.52/x
  3. Step 3: Cross multiply
    83,509x = 115,242.44 × 45,783.52
  4. Step 4: Simplify right side
    83,509x = 5,276,204,556.59
  5. Step 5: Solve for x
    x = 5,276,204,556.59/83,509
  6. Step 6: Final answer
    x = 63,181.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.