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Finding the Fourth Proportional to 145,826, 218,777.88 and 71,954

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Solution

The fourth proportional to 145,826, 218,777.88 and 71,954 is: 107,950.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,826 : 218,777.88 = 71,954 : x
  2. Step 2: Convert to fraction form
    145,826/218,777.88 = 71,954/x
  3. Step 3: Cross multiply
    145,826x = 218,777.88 × 71,954
  4. Step 4: Simplify right side
    145,826x = 15,741,943,577.52
  5. Step 5: Solve for x
    x = 15,741,943,577.52/145,826
  6. Step 6: Final answer
    x = 107,950.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.