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Finding the Fourth Proportional to 213,113.74, 294,095.51 and 117,620.43

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Solution

The fourth proportional to 213,113.74, 294,095.51 and 117,620.43 is: 162,315.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,113.74 : 294,095.51 = 117,620.43 : x
  2. Step 2: Convert to fraction form
    213,113.74/294,095.51 = 117,620.43/x
  3. Step 3: Cross multiply
    213,113.74x = 294,095.51 × 117,620.43
  4. Step 4: Simplify right side
    213,113.74x = 34,591,640,347.27
  5. Step 5: Solve for x
    x = 34,591,640,347.27/213,113.74
  6. Step 6: Final answer
    x = 162,315.39

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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.