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Finding the Fourth Proportional to 171,640.10, 257,460.15 and 142,480.10

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Solution

The fourth proportional to 171,640.10, 257,460.15 and 142,480.10 is: 213,720.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,640.10 : 257,460.15 = 142,480.10 : x
  2. Step 2: Convert to fraction form
    171,640.10/257,460.15 = 142,480.10/x
  3. Step 3: Cross multiply
    171,640.10x = 257,460.15 × 142,480.10
  4. Step 4: Simplify right side
    171,640.10x = 36,682,947,918.02
  5. Step 5: Solve for x
    x = 36,682,947,918.02/171,640.10
  6. Step 6: Final answer
    x = 213,720.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.