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Finding the Fourth Proportional to 103,505, 142,835.63 and 58,190.54

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Solution

The fourth proportional to 103,505, 142,835.63 and 58,190.54 is: 80,302.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,505 : 142,835.63 = 58,190.54 : x
  2. Step 2: Convert to fraction form
    103,505/142,835.63 = 58,190.54/x
  3. Step 3: Cross multiply
    103,505x = 142,835.63 × 58,190.54
  4. Step 4: Simplify right side
    103,505x = 8,311,682,440.94
  5. Step 5: Solve for x
    x = 8,311,682,440.94/103,505
  6. Step 6: Final answer
    x = 80,302.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.