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Finding the Fourth Proportional to 207,788.06, 311,699.78 and 65,595.29

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Solution

The fourth proportional to 207,788.06, 311,699.78 and 65,595.29 is: 98,398.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,788.06 : 311,699.78 = 65,595.29 : x
  2. Step 2: Convert to fraction form
    207,788.06/311,699.78 = 65,595.29/x
  3. Step 3: Cross multiply
    207,788.06x = 311,699.78 × 65,595.29
  4. Step 4: Simplify right side
    207,788.06x = 20,446,037,462.04
  5. Step 5: Solve for x
    x = 20,446,037,462.04/207,788.06
  6. Step 6: Final answer
    x = 98,398.52

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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.