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Finding the Fourth Proportional to 263,758.83, 363,986.69 and 142,903.11

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Solution

The fourth proportional to 263,758.83, 363,986.69 and 142,903.11 is: 197,206.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,758.83 : 363,986.69 = 142,903.11 : x
  2. Step 2: Convert to fraction form
    263,758.83/363,986.69 = 142,903.11/x
  3. Step 3: Cross multiply
    263,758.83x = 363,986.69 × 142,903.11
  4. Step 4: Simplify right side
    263,758.83x = 52,014,829,999.61
  5. Step 5: Solve for x
    x = 52,014,829,999.61/263,758.83
  6. Step 6: Final answer
    x = 197,206.02

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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.