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Finding the Fourth Proportional to 221,798.94, 306,085.50 and 126,306.04

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Solution

The fourth proportional to 221,798.94, 306,085.50 and 126,306.04 is: 174,304.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,798.94 : 306,085.50 = 126,306.04 : x
  2. Step 2: Convert to fraction form
    221,798.94/306,085.50 = 126,306.04/x
  3. Step 3: Cross multiply
    221,798.94x = 306,085.50 × 126,306.04
  4. Step 4: Simplify right side
    221,798.94x = 38,660,447,406.42
  5. Step 5: Solve for x
    x = 38,660,447,406.42/221,798.94
  6. Step 6: Final answer
    x = 174,304.02

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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.