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Finding the Fourth Proportional to 253,915.76, 380,543.78 and 103,986

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Solution

The fourth proportional to 253,915.76, 380,543.78 and 103,986 is: 155,843.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,915.76 : 380,543.78 = 103,986 : x
  2. Step 2: Convert to fraction form
    253,915.76/380,543.78 = 103,986/x
  3. Step 3: Cross multiply
    253,915.76x = 380,543.78 × 103,986
  4. Step 4: Simplify right side
    253,915.76x = 39,571,225,507.08
  5. Step 5: Solve for x
    x = 39,571,225,507.08/253,915.76
  6. Step 6: Final answer
    x = 155,843.91

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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.