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Finding the Fourth Proportional to 55,265, 76,263.24 and 31,391.32

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Solution

The fourth proportional to 55,265, 76,263.24 and 31,391.32 is: 43,318.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,265 : 76,263.24 = 31,391.32 : x
  2. Step 2: Convert to fraction form
    55,265/76,263.24 = 31,391.32/x
  3. Step 3: Cross multiply
    55,265x = 76,263.24 × 31,391.32
  4. Step 4: Simplify right side
    55,265x = 2,394,003,771.08
  5. Step 5: Solve for x
    x = 2,394,003,771.08/55,265
  6. Step 6: Final answer
    x = 43,318.62

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1.5x scale

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.