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Finding the Fourth Proportional to 213,477.78, 320,205.12 and 108,294.02

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Solution

The fourth proportional to 213,477.78, 320,205.12 and 108,294.02 is: 162,435.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,477.78 : 320,205.12 = 108,294.02 : x
  2. Step 2: Convert to fraction form
    213,477.78/320,205.12 = 108,294.02/x
  3. Step 3: Cross multiply
    213,477.78x = 320,205.12 × 108,294.02
  4. Step 4: Simplify right side
    213,477.78x = 34,676,299,669.38
  5. Step 5: Solve for x
    x = 34,676,299,669.38/213,477.78
  6. Step 6: Final answer
    x = 162,435.17

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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.