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Finding the Fourth Proportional to 213,224, 294,275.04 and 123,800

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Solution

The fourth proportional to 213,224, 294,275.04 and 123,800 is: 170,859.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,224 : 294,275.04 = 123,800 : x
  2. Step 2: Convert to fraction form
    213,224/294,275.04 = 123,800/x
  3. Step 3: Cross multiply
    213,224x = 294,275.04 × 123,800
  4. Step 4: Simplify right side
    213,224x = 36,431,249,952
  5. Step 5: Solve for x
    x = 36,431,249,952/213,224
  6. Step 6: Final answer
    x = 170,859.05

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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.