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Finding the Fourth Proportional to 114,826, 172,245.60 and 40,954

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Solution

The fourth proportional to 114,826, 172,245.60 and 40,954 is: 61,433.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,826 : 172,245.60 = 40,954 : x
  2. Step 2: Convert to fraction form
    114,826/172,245.60 = 40,954/x
  3. Step 3: Cross multiply
    114,826x = 172,245.60 × 40,954
  4. Step 4: Simplify right side
    114,826x = 7,054,146,302.40
  5. Step 5: Solve for x
    x = 7,054,146,302.40/114,826
  6. Step 6: Final answer
    x = 61,433.35

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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.