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Finding the Fourth Proportional to 81,778,014.80, 122,562,823.80 and 43,457,886.80

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Solution

The fourth proportional to 81,778,014.80, 122,562,823.80 and 43,457,886.80 is: 65,131,457.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,778,014.80 : 122,562,823.80 = 43,457,886.80 : x
  2. Step 2: Convert to fraction form
    81,778,014.80/122,562,823.80 = 43,457,886.80/x
  3. Step 3: Cross multiply
    81,778,014.80x = 122,562,823.80 × 43,457,886.80
  4. Step 4: Simplify right side
    81,778,014.80x = 5,326,321,322,588,745
  5. Step 5: Solve for x
    x = 5,326,321,322,588,745/81,778,014.80
  6. Step 6: Final answer
    x = 65,131,457.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.