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Finding the Fourth Proportional to 224,742.94, 310,145.25 and 129,247.58

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Solution

The fourth proportional to 224,742.94, 310,145.25 and 129,247.58 is: 178,361.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,742.94 : 310,145.25 = 129,247.58 : x
  2. Step 2: Convert to fraction form
    224,742.94/310,145.25 = 129,247.58/x
  3. Step 3: Cross multiply
    224,742.94x = 310,145.25 × 129,247.58
  4. Step 4: Simplify right side
    224,742.94x = 40,085,524,271.04
  5. Step 5: Solve for x
    x = 40,085,524,271.04/224,742.94
  6. Step 6: Final answer
    x = 178,361.66

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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.