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Finding the Fourth Proportional to 213,135.60, 319,962.60 and 160,129.20

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Solution

The fourth proportional to 213,135.60, 319,962.60 and 160,129.20 is: 240,388.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,135.60 : 319,962.60 = 160,129.20 : x
  2. Step 2: Convert to fraction form
    213,135.60/319,962.60 = 160,129.20/x
  3. Step 3: Cross multiply
    213,135.60x = 319,962.60 × 160,129.20
  4. Step 4: Simplify right side
    213,135.60x = 51,235,355,167.92
  5. Step 5: Solve for x
    x = 51,235,355,167.92/213,135.60
  6. Step 6: Final answer
    x = 240,388.54

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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.