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Finding the Fourth Proportional to 82,090.61, 123,135.93 and 19,761.11

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Solution

The fourth proportional to 82,090.61, 123,135.93 and 19,761.11 is: 29,641.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,090.61 : 123,135.93 = 19,761.11 : x
  2. Step 2: Convert to fraction form
    82,090.61/123,135.93 = 19,761.11/x
  3. Step 3: Cross multiply
    82,090.61x = 123,135.93 × 19,761.11
  4. Step 4: Simplify right side
    82,090.61x = 2,433,302,657.68
  5. Step 5: Solve for x
    x = 2,433,302,657.68/82,090.61
  6. Step 6: Final answer
    x = 29,641.67

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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.