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Finding the Fourth Proportional to 129,673.64, 194,510.46 and 40,989.44

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Solution

The fourth proportional to 129,673.64, 194,510.46 and 40,989.44 is: 61,484.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,673.64 : 194,510.46 = 40,989.44 : x
  2. Step 2: Convert to fraction form
    129,673.64/194,510.46 = 40,989.44/x
  3. Step 3: Cross multiply
    129,673.64x = 194,510.46 × 40,989.44
  4. Step 4: Simplify right side
    129,673.64x = 7,972,874,829.54
  5. Step 5: Solve for x
    x = 7,972,874,829.54/129,673.64
  6. Step 6: Final answer
    x = 61,484.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.