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Finding the Fourth Proportional to 213,138.60, 319,967.10 and 160,132.20

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Solution

The fourth proportional to 213,138.60, 319,967.10 and 160,132.20 is: 240,393.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,138.60 : 319,967.10 = 160,132.20 : x
  2. Step 2: Convert to fraction form
    213,138.60/319,967.10 = 160,132.20/x
  3. Step 3: Cross multiply
    213,138.60x = 319,967.10 × 160,132.20
  4. Step 4: Simplify right side
    213,138.60x = 51,237,035,650.62
  5. Step 5: Solve for x
    x = 51,237,035,650.62/213,138.60
  6. Step 6: Final answer
    x = 240,393.04

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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.