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Finding the Fourth Proportional to 261,915.75, 361,443.74 and 142,683.75

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Solution

The fourth proportional to 261,915.75, 361,443.74 and 142,683.75 is: 196,903.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,915.75 : 361,443.74 = 142,683.75 : x
  2. Step 2: Convert to fraction form
    261,915.75/361,443.74 = 142,683.75/x
  3. Step 3: Cross multiply
    261,915.75x = 361,443.74 × 142,683.75
  4. Step 4: Simplify right side
    261,915.75x = 51,572,147,523.81
  5. Step 5: Solve for x
    x = 51,572,147,523.81/261,915.75
  6. Step 6: Final answer
    x = 196,903.58

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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.