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Finding the Fourth Proportional to 213,863.55, 295,205.43 and 123,255.69

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Solution

The fourth proportional to 213,863.55, 295,205.43 and 123,255.69 is: 170,135.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,863.55 : 295,205.43 = 123,255.69 : x
  2. Step 2: Convert to fraction form
    213,863.55/295,205.43 = 123,255.69/x
  3. Step 3: Cross multiply
    213,863.55x = 295,205.43 × 123,255.69
  4. Step 4: Simplify right side
    213,863.55x = 36,385,748,966.40
  5. Step 5: Solve for x
    x = 36,385,748,966.40/213,863.55
  6. Step 6: Final answer
    x = 170,135.35

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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.