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Finding the Fourth Proportional to 218,876.22, 302,298.30 and 147,131.82

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Solution

The fourth proportional to 218,876.22, 302,298.30 and 147,131.82 is: 203,209.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,876.22 : 302,298.30 = 147,131.82 : x
  2. Step 2: Convert to fraction form
    218,876.22/302,298.30 = 147,131.82/x
  3. Step 3: Cross multiply
    218,876.22x = 302,298.30 × 147,131.82
  4. Step 4: Simplify right side
    218,876.22x = 44,477,699,061.91
  5. Step 5: Solve for x
    x = 44,477,699,061.91/218,876.22
  6. Step 6: Final answer
    x = 203,209.37

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