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Finding the Fourth Proportional to 77,190, 106,522.20 and 41,862

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Solution

The fourth proportional to 77,190, 106,522.20 and 41,862 is: 57,769.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,190 : 106,522.20 = 41,862 : x
  2. Step 2: Convert to fraction form
    77,190/106,522.20 = 41,862/x
  3. Step 3: Cross multiply
    77,190x = 106,522.20 × 41,862
  4. Step 4: Simplify right side
    77,190x = 4,459,232,336.40
  5. Step 5: Solve for x
    x = 4,459,232,336.40/77,190
  6. Step 6: Final answer
    x = 57,769.56

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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.