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Finding the Fourth Proportional to 213,189.18, 319,950.83 and 148,728.12

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Solution

The fourth proportional to 213,189.18, 319,950.83 and 148,728.12 is: 223,208.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,189.18 : 319,950.83 = 148,728.12 : x
  2. Step 2: Convert to fraction form
    213,189.18/319,950.83 = 148,728.12/x
  3. Step 3: Cross multiply
    213,189.18x = 319,950.83 × 148,728.12
  4. Step 4: Simplify right side
    213,189.18x = 47,585,685,438.34
  5. Step 5: Solve for x
    x = 47,585,685,438.34/213,189.18
  6. Step 6: Final answer
    x = 223,208.73

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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.