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Finding the Fourth Proportional to 83,783.88, 115,648.74 and 53,650.35

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Solution

The fourth proportional to 83,783.88, 115,648.74 and 53,650.35 is: 74,054.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,783.88 : 115,648.74 = 53,650.35 : x
  2. Step 2: Convert to fraction form
    83,783.88/115,648.74 = 53,650.35/x
  3. Step 3: Cross multiply
    83,783.88x = 115,648.74 × 53,650.35
  4. Step 4: Simplify right side
    83,783.88x = 6,204,595,378.06
  5. Step 5: Solve for x
    x = 6,204,595,378.06/83,783.88
  6. Step 6: Final answer
    x = 74,054.76

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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.