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Finding the Fourth Proportional to 81,214.85, 112,086.79 and 45,406.98

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Solution

The fourth proportional to 81,214.85, 112,086.79 and 45,406.98 is: 62,667.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,214.85 : 112,086.79 = 45,406.98 : x
  2. Step 2: Convert to fraction form
    81,214.85/112,086.79 = 45,406.98/x
  3. Step 3: Cross multiply
    81,214.85x = 112,086.79 × 45,406.98
  4. Step 4: Simplify right side
    81,214.85x = 5,089,522,518.28
  5. Step 5: Solve for x
    x = 5,089,522,518.28/81,214.85
  6. Step 6: Final answer
    x = 62,667.39

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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.