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Finding the Fourth Proportional to 76,537.81, 105,579.03 and 45,902.75

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Solution

The fourth proportional to 76,537.81, 105,579.03 and 45,902.75 is: 63,319.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,537.81 : 105,579.03 = 45,902.75 : x
  2. Step 2: Convert to fraction form
    76,537.81/105,579.03 = 45,902.75/x
  3. Step 3: Cross multiply
    76,537.81x = 105,579.03 × 45,902.75
  4. Step 4: Simplify right side
    76,537.81x = 4,846,368,083.28
  5. Step 5: Solve for x
    x = 4,846,368,083.28/76,537.81
  6. Step 6: Final answer
    x = 63,319.92

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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.