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Finding the Fourth Proportional to 213,671.78, 294,578.51 and 137,057.87

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Solution

The fourth proportional to 213,671.78, 294,578.51 and 137,057.87 is: 188,954.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,671.78 : 294,578.51 = 137,057.87 : x
  2. Step 2: Convert to fraction form
    213,671.78/294,578.51 = 137,057.87/x
  3. Step 3: Cross multiply
    213,671.78x = 294,578.51 × 137,057.87
  4. Step 4: Simplify right side
    213,671.78x = 40,374,300,970.19
  5. Step 5: Solve for x
    x = 40,374,300,970.19/213,671.78
  6. Step 6: Final answer
    x = 188,954.77

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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.