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Finding the Fourth Proportional to 76,751.76, 105,921.09 and 42,762.54

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Solution

The fourth proportional to 76,751.76, 105,921.09 and 42,762.54 is: 59,014.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,751.76 : 105,921.09 = 42,762.54 : x
  2. Step 2: Convert to fraction form
    76,751.76/105,921.09 = 42,762.54/x
  3. Step 3: Cross multiply
    76,751.76x = 105,921.09 × 42,762.54
  4. Step 4: Simplify right side
    76,751.76x = 4,529,454,847.97
  5. Step 5: Solve for x
    x = 4,529,454,847.97/76,751.76
  6. Step 6: Final answer
    x = 59,014.35

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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.