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Finding the Fourth Proportional to 218,488.98, 301,503.33 and 122,992.50

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Solution

The fourth proportional to 218,488.98, 301,503.33 and 122,992.50 is: 169,723.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,488.98 : 301,503.33 = 122,992.50 : x
  2. Step 2: Convert to fraction form
    218,488.98/301,503.33 = 122,992.50/x
  3. Step 3: Cross multiply
    218,488.98x = 301,503.33 × 122,992.50
  4. Step 4: Simplify right side
    218,488.98x = 37,082,648,315.03
  5. Step 5: Solve for x
    x = 37,082,648,315.03/218,488.98
  6. Step 6: Final answer
    x = 169,723.20

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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.