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Finding the Fourth Proportional to 262,003.12, 361,544.88 and 148,804

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Solution

The fourth proportional to 262,003.12, 361,544.88 and 148,804 is: 205,338.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,003.12 : 361,544.88 = 148,804 : x
  2. Step 2: Convert to fraction form
    262,003.12/361,544.88 = 148,804/x
  3. Step 3: Cross multiply
    262,003.12x = 361,544.88 × 148,804
  4. Step 4: Simplify right side
    262,003.12x = 53,799,324,323.52
  5. Step 5: Solve for x
    x = 53,799,324,323.52/262,003.12
  6. Step 6: Final answer
    x = 205,338.49

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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.