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Finding the Fourth Proportional to 135,851.40, 203,930.70 and 104,824.20

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Solution

The fourth proportional to 135,851.40, 203,930.70 and 104,824.20 is: 157,354.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,851.40 : 203,930.70 = 104,824.20 : x
  2. Step 2: Convert to fraction form
    135,851.40/203,930.70 = 104,824.20/x
  3. Step 3: Cross multiply
    135,851.40x = 203,930.70 × 104,824.20
  4. Step 4: Simplify right side
    135,851.40x = 21,376,872,482.94
  5. Step 5: Solve for x
    x = 21,376,872,482.94/135,851.40
  6. Step 6: Final answer
    x = 157,354.82

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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.