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Finding the Fourth Proportional to 213,422.94, 294,523.56 and 117,928.80

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Solution

The fourth proportional to 213,422.94, 294,523.56 and 117,928.80 is: 162,741.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,422.94 : 294,523.56 = 117,928.80 : x
  2. Step 2: Convert to fraction form
    213,422.94/294,523.56 = 117,928.80/x
  3. Step 3: Cross multiply
    213,422.94x = 294,523.56 × 117,928.80
  4. Step 4: Simplify right side
    213,422.94x = 34,732,810,002.53
  5. Step 5: Solve for x
    x = 34,732,810,002.53/213,422.94
  6. Step 6: Final answer
    x = 162,741.69

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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.