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Finding the Fourth Proportional to 213,290, 294,340.20 and 123,871.76

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Solution

The fourth proportional to 213,290, 294,340.20 and 123,871.76 is: 170,943.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,290 : 294,340.20 = 123,871.76 : x
  2. Step 2: Convert to fraction form
    213,290/294,340.20 = 123,871.76/x
  3. Step 3: Cross multiply
    213,290x = 294,340.20 × 123,871.76
  4. Step 4: Simplify right side
    213,290x = 36,460,438,612.75
  5. Step 5: Solve for x
    x = 36,460,438,612.75/213,290
  6. Step 6: Final answer
    x = 170,943.03

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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.