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Finding the Fourth Proportional to 213,282, 294,329.16 and 123,863.76

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Solution

The fourth proportional to 213,282, 294,329.16 and 123,863.76 is: 170,931.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,282 : 294,329.16 = 123,863.76 : x
  2. Step 2: Convert to fraction form
    213,282/294,329.16 = 123,863.76/x
  3. Step 3: Cross multiply
    213,282x = 294,329.16 × 123,863.76
  4. Step 4: Simplify right side
    213,282x = 36,456,716,435.24
  5. Step 5: Solve for x
    x = 36,456,716,435.24/213,282
  6. Step 6: Final answer
    x = 170,931.99

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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.