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Finding the Fourth Proportional to 213,201.79, 294,217.65 and 117,707.78

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Solution

The fourth proportional to 213,201.79, 294,217.65 and 117,707.78 is: 162,436.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,201.79 : 294,217.65 = 117,707.78 : x
  2. Step 2: Convert to fraction form
    213,201.79/294,217.65 = 117,707.78/x
  3. Step 3: Cross multiply
    213,201.79x = 294,217.65 × 117,707.78
  4. Step 4: Simplify right side
    213,201.79x = 34,631,705,829.78
  5. Step 5: Solve for x
    x = 34,631,705,829.78/213,201.79
  6. Step 6: Final answer
    x = 162,436.28

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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.