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Finding the Fourth Proportional to 102,042.45, 153,063.99 and 30,965.67

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Solution

The fourth proportional to 102,042.45, 153,063.99 and 30,965.67 is: 46,448.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,042.45 : 153,063.99 = 30,965.67 : x
  2. Step 2: Convert to fraction form
    102,042.45/153,063.99 = 30,965.67/x
  3. Step 3: Cross multiply
    102,042.45x = 153,063.99 × 30,965.67
  4. Step 4: Simplify right side
    102,042.45x = 4,739,729,003.22
  5. Step 5: Solve for x
    x = 4,739,729,003.22/102,042.45
  6. Step 6: Final answer
    x = 46,448.60

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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.