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Finding the Fourth Proportional to 213,210.50, 294,256.41 and 123,786.50

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Solution

The fourth proportional to 213,210.50, 294,256.41 and 123,786.50 is: 170,840.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,210.50 : 294,256.41 = 123,786.50 : x
  2. Step 2: Convert to fraction form
    213,210.50/294,256.41 = 123,786.50/x
  3. Step 3: Cross multiply
    213,210.50x = 294,256.41 × 123,786.50
  4. Step 4: Simplify right side
    213,210.50x = 36,424,971,096.47
  5. Step 5: Solve for x
    x = 36,424,971,096.47/213,210.50
  6. Step 6: Final answer
    x = 170,840.42

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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.