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Finding the Fourth Proportional to 81,783.54, 122,526.99 and 37,447.38

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Solution

The fourth proportional to 81,783.54, 122,526.99 and 37,447.38 is: 56,103.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,783.54 : 122,526.99 = 37,447.38 : x
  2. Step 2: Convert to fraction form
    81,783.54/122,526.99 = 37,447.38/x
  3. Step 3: Cross multiply
    81,783.54x = 122,526.99 × 37,447.38
  4. Step 4: Simplify right side
    81,783.54x = 4,588,314,754.79
  5. Step 5: Solve for x
    x = 4,588,314,754.79/81,783.54
  6. Step 6: Final answer
    x = 56,103.16

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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.