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Finding the Fourth Proportional to 101,520.81, 152,274.74 and 31,394.25

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Solution

The fourth proportional to 101,520.81, 152,274.74 and 31,394.25 is: 47,089.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,520.81 : 152,274.74 = 31,394.25 : x
  2. Step 2: Convert to fraction form
    101,520.81/152,274.74 = 31,394.25/x
  3. Step 3: Cross multiply
    101,520.81x = 152,274.74 × 31,394.25
  4. Step 4: Simplify right side
    101,520.81x = 4,780,551,099.27
  5. Step 5: Solve for x
    x = 4,780,551,099.27/101,520.81
  6. Step 6: Final answer
    x = 47,089.37

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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.