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Finding the Fourth Proportional to 223,378.43, 308,264.61 and 121,403.90

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Solution

The fourth proportional to 223,378.43, 308,264.61 and 121,403.90 is: 167,538.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,378.43 : 308,264.61 = 121,403.90 : x
  2. Step 2: Convert to fraction form
    223,378.43/308,264.61 = 121,403.90/x
  3. Step 3: Cross multiply
    223,378.43x = 308,264.61 × 121,403.90
  4. Step 4: Simplify right side
    223,378.43x = 37,424,525,885.98
  5. Step 5: Solve for x
    x = 37,424,525,885.98/223,378.43
  6. Step 6: Final answer
    x = 167,538.67

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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.