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Finding the Fourth Proportional to 83,653.37, 115,441.74 and 45,412.90

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Solution

The fourth proportional to 83,653.37, 115,441.74 and 45,412.90 is: 62,669.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,653.37 : 115,441.74 = 45,412.90 : x
  2. Step 2: Convert to fraction form
    83,653.37/115,441.74 = 45,412.90/x
  3. Step 3: Cross multiply
    83,653.37x = 115,441.74 × 45,412.90
  4. Step 4: Simplify right side
    83,653.37x = 5,242,543,905.84
  5. Step 5: Solve for x
    x = 5,242,543,905.84/83,653.37
  6. Step 6: Final answer
    x = 62,669.85

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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.