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Finding the Fourth Proportional to 213,854.80, 320,436.60 and 134,827.60

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Solution

The fourth proportional to 213,854.80, 320,436.60 and 134,827.60 is: 202,023.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,854.80 : 320,436.60 = 134,827.60 : x
  2. Step 2: Convert to fraction form
    213,854.80/320,436.60 = 134,827.60/x
  3. Step 3: Cross multiply
    213,854.80x = 320,436.60 × 134,827.60
  4. Step 4: Simplify right side
    213,854.80x = 43,203,697,730.16
  5. Step 5: Solve for x
    x = 43,203,697,730.16/213,854.80
  6. Step 6: Final answer
    x = 202,023.51

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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.