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Finding the Fourth Proportional to 213,471.65, 294,726.74 and 133,017.39

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Solution

The fourth proportional to 213,471.65, 294,726.74 and 133,017.39 is: 183,648.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,471.65 : 294,726.74 = 133,017.39 : x
  2. Step 2: Convert to fraction form
    213,471.65/294,726.74 = 133,017.39/x
  3. Step 3: Cross multiply
    213,471.65x = 294,726.74 × 133,017.39
  4. Step 4: Simplify right side
    213,471.65x = 39,203,781,052.92
  5. Step 5: Solve for x
    x = 39,203,781,052.92/213,471.65
  6. Step 6: Final answer
    x = 183,648.65

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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.