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Finding the Fourth Proportional to 148,642.60, 205,190.78 and 91,291.22

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Solution

The fourth proportional to 148,642.60, 205,190.78 and 91,291.22 is: 126,021.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,642.60 : 205,190.78 = 91,291.22 : x
  2. Step 2: Convert to fraction form
    148,642.60/205,190.78 = 91,291.22/x
  3. Step 3: Cross multiply
    148,642.60x = 205,190.78 × 91,291.22
  4. Step 4: Simplify right side
    148,642.60x = 18,732,116,638.95
  5. Step 5: Solve for x
    x = 18,732,116,638.95/148,642.60
  6. Step 6: Final answer
    x = 126,021.19

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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.