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Finding the Fourth Proportional to 213,603, 320,426.43 and 80,595.19

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Solution

The fourth proportional to 213,603, 320,426.43 and 80,595.19 is: 120,901.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,603 : 320,426.43 = 80,595.19 : x
  2. Step 2: Convert to fraction form
    213,603/320,426.43 = 80,595.19/x
  3. Step 3: Cross multiply
    213,603x = 320,426.43 × 80,595.19
  4. Step 4: Simplify right side
    213,603x = 25,824,829,006.87
  5. Step 5: Solve for x
    x = 25,824,829,006.87/213,603
  6. Step 6: Final answer
    x = 120,901.06

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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.