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Finding the Fourth Proportional to 81,457.44, 112,411.36 and 45,647.94

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Solution

The fourth proportional to 81,457.44, 112,411.36 and 45,647.94 is: 62,994.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,457.44 : 112,411.36 = 45,647.94 : x
  2. Step 2: Convert to fraction form
    81,457.44/112,411.36 = 45,647.94/x
  3. Step 3: Cross multiply
    81,457.44x = 112,411.36 × 45,647.94
  4. Step 4: Simplify right side
    81,457.44x = 5,131,347,016.60
  5. Step 5: Solve for x
    x = 5,131,347,016.60/81,457.44
  6. Step 6: Final answer
    x = 62,994.21

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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.