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Finding the Fourth Proportional to 213,224.81, 319,142.84 and 157,042.80

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Solution

The fourth proportional to 213,224.81, 319,142.84 and 157,042.80 is: 235,052.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,224.81 : 319,142.84 = 157,042.80 : x
  2. Step 2: Convert to fraction form
    213,224.81/319,142.84 = 157,042.80/x
  3. Step 3: Cross multiply
    213,224.81x = 319,142.84 × 157,042.80
  4. Step 4: Simplify right side
    213,224.81x = 50,119,084,408.34
  5. Step 5: Solve for x
    x = 50,119,084,408.34/213,224.81
  6. Step 6: Final answer
    x = 235,052.79

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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.