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Finding the Fourth Proportional to 101,378.63, 152,058.22 and 31,239.11

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Solution

The fourth proportional to 101,378.63, 152,058.22 and 31,239.11 is: 46,855.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,378.63 : 152,058.22 = 31,239.11 : x
  2. Step 2: Convert to fraction form
    101,378.63/152,058.22 = 31,239.11/x
  3. Step 3: Cross multiply
    101,378.63x = 152,058.22 × 31,239.11
  4. Step 4: Simplify right side
    101,378.63x = 4,750,163,460.98
  5. Step 5: Solve for x
    x = 4,750,163,460.98/101,378.63
  6. Step 6: Final answer
    x = 46,855.67

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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.