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Finding the Fourth Proportional to 54,897.40, 75,759.90 and 31,023.52

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Solution

The fourth proportional to 54,897.40, 75,759.90 and 31,023.52 is: 42,813.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,897.40 : 75,759.90 = 31,023.52 : x
  2. Step 2: Convert to fraction form
    54,897.40/75,759.90 = 31,023.52/x
  3. Step 3: Cross multiply
    54,897.40x = 75,759.90 × 31,023.52
  4. Step 4: Simplify right side
    54,897.40x = 2,350,338,772.85
  5. Step 5: Solve for x
    x = 2,350,338,772.85/54,897.40
  6. Step 6: Final answer
    x = 42,813.30

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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.