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Finding the Fourth Proportional to 54,438.86, 75,123.68 and 30,566.54

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Solution

The fourth proportional to 54,438.86, 75,123.68 and 30,566.54 is: 42,180.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,438.86 : 75,123.68 = 30,566.54 : x
  2. Step 2: Convert to fraction form
    54,438.86/75,123.68 = 30,566.54/x
  3. Step 3: Cross multiply
    54,438.86x = 75,123.68 × 30,566.54
  4. Step 4: Simplify right side
    54,438.86x = 2,296,271,233.89
  5. Step 5: Solve for x
    x = 2,296,271,233.89/54,438.86
  6. Step 6: Final answer
    x = 42,180.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.