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Finding the Fourth Proportional to 213,214.67, 319,567.15 and 99,208.48

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Solution

The fourth proportional to 213,214.67, 319,567.15 and 99,208.48 is: 148,694.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,214.67 : 319,567.15 = 99,208.48 : x
  2. Step 2: Convert to fraction form
    213,214.67/319,567.15 = 99,208.48/x
  3. Step 3: Cross multiply
    213,214.67x = 319,567.15 × 99,208.48
  4. Step 4: Simplify right side
    213,214.67x = 31,703,771,209.43
  5. Step 5: Solve for x
    x = 31,703,771,209.43/213,214.67
  6. Step 6: Final answer
    x = 148,694.14

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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.