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Finding the Fourth Proportional to 213,215.67, 319,568.65 and 99,209.48

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Solution

The fourth proportional to 213,215.67, 319,568.65 and 99,209.48 is: 148,695.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,215.67 : 319,568.65 = 99,209.48 : x
  2. Step 2: Convert to fraction form
    213,215.67/319,568.65 = 99,209.48/x
  3. Step 3: Cross multiply
    213,215.67x = 319,568.65 × 99,209.48
  4. Step 4: Simplify right side
    213,215.67x = 31,704,239,590.80
  5. Step 5: Solve for x
    x = 31,704,239,590.80/213,215.67
  6. Step 6: Final answer
    x = 148,695.64

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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.