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Finding the Fourth Proportional to 50,886.78, 70,177.80 and 31,768.30

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Solution

The fourth proportional to 50,886.78, 70,177.80 and 31,768.30 is: 43,811.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,886.78 : 70,177.80 = 31,768.30 : x
  2. Step 2: Convert to fraction form
    50,886.78/70,177.80 = 31,768.30/x
  3. Step 3: Cross multiply
    50,886.78x = 70,177.80 × 31,768.30
  4. Step 4: Simplify right side
    50,886.78x = 2,229,429,403.74
  5. Step 5: Solve for x
    x = 2,229,429,403.74/50,886.78
  6. Step 6: Final answer
    x = 43,811.56

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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.