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Finding the Fourth Proportional to 209,595.50, 289,240.92 and 117,702

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Solution

The fourth proportional to 209,595.50, 289,240.92 and 117,702 is: 162,428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,595.50 : 289,240.92 = 117,702 : x
  2. Step 2: Convert to fraction form
    209,595.50/289,240.92 = 117,702/x
  3. Step 3: Cross multiply
    209,595.50x = 289,240.92 × 117,702
  4. Step 4: Simplify right side
    209,595.50x = 34,044,234,765.84
  5. Step 5: Solve for x
    x = 34,044,234,765.84/209,595.50
  6. Step 6: Final answer
    x = 162,428.28

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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.