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Finding the Fourth Proportional to 190,452, 262,824 and 105,581.76

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Solution

The fourth proportional to 190,452, 262,824 and 105,581.76 is: 145,702.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,452 : 262,824 = 105,581.76 : x
  2. Step 2: Convert to fraction form
    190,452/262,824 = 105,581.76/x
  3. Step 3: Cross multiply
    190,452x = 262,824 × 105,581.76
  4. Step 4: Simplify right side
    190,452x = 27,749,420,490.24
  5. Step 5: Solve for x
    x = 27,749,420,490.24/190,452
  6. Step 6: Final answer
    x = 145,702.96

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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.