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Finding the Fourth Proportional to 213,137.60, 319,965.60 and 160,131.20

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Solution

The fourth proportional to 213,137.60, 319,965.60 and 160,131.20 is: 240,391.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,137.60 : 319,965.60 = 160,131.20 : x
  2. Step 2: Convert to fraction form
    213,137.60/319,965.60 = 160,131.20/x
  3. Step 3: Cross multiply
    213,137.60x = 319,965.60 × 160,131.20
  4. Step 4: Simplify right side
    213,137.60x = 51,236,475,486.72
  5. Step 5: Solve for x
    x = 51,236,475,486.72/213,137.60
  6. Step 6: Final answer
    x = 240,391.54

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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.