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Finding the Fourth Proportional to 253,584, 349,956.90 and 140,406.75

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Solution

The fourth proportional to 253,584, 349,956.90 and 140,406.75 is: 193,767.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,584 : 349,956.90 = 140,406.75 : x
  2. Step 2: Convert to fraction form
    253,584/349,956.90 = 140,406.75/x
  3. Step 3: Cross multiply
    253,584x = 349,956.90 × 140,406.75
  4. Step 4: Simplify right side
    253,584x = 49,136,310,969.08
  5. Step 5: Solve for x
    x = 49,136,310,969.08/253,584
  6. Step 6: Final answer
    x = 193,767.39

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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.