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Finding the Fourth Proportional to 221,874.38, 306,152.43 and 126,368.90

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Solution

The fourth proportional to 221,874.38, 306,152.43 and 126,368.90 is: 174,369.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,874.38 : 306,152.43 = 126,368.90 : x
  2. Step 2: Convert to fraction form
    221,874.38/306,152.43 = 126,368.90/x
  3. Step 3: Cross multiply
    221,874.38x = 306,152.43 × 126,368.90
  4. Step 4: Simplify right side
    221,874.38x = 38,688,145,811.43
  5. Step 5: Solve for x
    x = 38,688,145,811.43/221,874.38
  6. Step 6: Final answer
    x = 174,369.60

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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.