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Finding the Fourth Proportional to 81,804.47, 122,753.48 and 37,430.84

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Solution

The fourth proportional to 81,804.47, 122,753.48 and 37,430.84 is: 56,167.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,804.47 : 122,753.48 = 37,430.84 : x
  2. Step 2: Convert to fraction form
    81,804.47/122,753.48 = 37,430.84/x
  3. Step 3: Cross multiply
    81,804.47x = 122,753.48 × 37,430.84
  4. Step 4: Simplify right side
    81,804.47x = 4,594,765,989.05
  5. Step 5: Solve for x
    x = 4,594,765,989.05/81,804.47
  6. Step 6: Final answer
    x = 56,167.67

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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.