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Finding the Fourth Proportional to 131,309, 181,206.50 and 71,693

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Solution

The fourth proportional to 131,309, 181,206.50 and 71,693 is: 98,936.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,309 : 181,206.50 = 71,693 : x
  2. Step 2: Convert to fraction form
    131,309/181,206.50 = 71,693/x
  3. Step 3: Cross multiply
    131,309x = 181,206.50 × 71,693
  4. Step 4: Simplify right side
    131,309x = 12,991,237,604.50
  5. Step 5: Solve for x
    x = 12,991,237,604.50/131,309
  6. Step 6: Final answer
    x = 98,936.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.