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Finding the Fourth Proportional to 218,146.85, 300,941.61 and 127,506.64

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Solution

The fourth proportional to 218,146.85, 300,941.61 and 127,506.64 is: 175,900.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,146.85 : 300,941.61 = 127,506.64 : x
  2. Step 2: Convert to fraction form
    218,146.85/300,941.61 = 127,506.64/x
  3. Step 3: Cross multiply
    218,146.85x = 300,941.61 × 127,506.64
  4. Step 4: Simplify right side
    218,146.85x = 38,372,053,527.29
  5. Step 5: Solve for x
    x = 38,372,053,527.29/218,146.85
  6. Step 6: Final answer
    x = 175,900.10

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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.