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Finding the Fourth Proportional to 75,419.95, 113,027.86 and 28,647.31

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Solution

The fourth proportional to 75,419.95, 113,027.86 and 28,647.31 is: 42,932.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,419.95 : 113,027.86 = 28,647.31 : x
  2. Step 2: Convert to fraction form
    75,419.95/113,027.86 = 28,647.31/x
  3. Step 3: Cross multiply
    75,419.95x = 113,027.86 × 28,647.31
  4. Step 4: Simplify right side
    75,419.95x = 3,237,943,897.30
  5. Step 5: Solve for x
    x = 3,237,943,897.30/75,419.95
  6. Step 6: Final answer
    x = 42,932.20

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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.