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Finding the Fourth Proportional to 213,229.50, 294,282.63 and 123,805.50

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Solution

The fourth proportional to 213,229.50, 294,282.63 and 123,805.50 is: 170,866.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,229.50 : 294,282.63 = 123,805.50 : x
  2. Step 2: Convert to fraction form
    213,229.50/294,282.63 = 123,805.50/x
  3. Step 3: Cross multiply
    213,229.50x = 294,282.63 × 123,805.50
  4. Step 4: Simplify right side
    213,229.50x = 36,433,808,148.47
  5. Step 5: Solve for x
    x = 36,433,808,148.47/213,229.50
  6. Step 6: Final answer
    x = 170,866.64

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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.