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Finding the Fourth Proportional to 101,538, 152,314.32 and 31,408.32

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Solution

The fourth proportional to 101,538, 152,314.32 and 31,408.32 is: 47,114.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,538 : 152,314.32 = 31,408.32 : x
  2. Step 2: Convert to fraction form
    101,538/152,314.32 = 31,408.32/x
  3. Step 3: Cross multiply
    101,538x = 152,314.32 × 31,408.32
  4. Step 4: Simplify right side
    101,538x = 4,783,936,903.14
  5. Step 5: Solve for x
    x = 4,783,936,903.14/101,538
  6. Step 6: Final answer
    x = 47,114.74

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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.