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Finding the Fourth Proportional to 223,450.84, 308,420.22 and 147,971.80

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Solution

The fourth proportional to 223,450.84, 308,420.22 and 147,971.80 is: 204,239.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,450.84 : 308,420.22 = 147,971.80 : x
  2. Step 2: Convert to fraction form
    223,450.84/308,420.22 = 147,971.80/x
  3. Step 3: Cross multiply
    223,450.84x = 308,420.22 × 147,971.80
  4. Step 4: Simplify right side
    223,450.84x = 45,637,495,109.80
  5. Step 5: Solve for x
    x = 45,637,495,109.80/223,450.84
  6. Step 6: Final answer
    x = 204,239.53

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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.