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Finding the Fourth Proportional to 210,642.73, 315,684.64 and 92,185.09

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Solution

The fourth proportional to 210,642.73, 315,684.64 and 92,185.09 is: 138,155.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,642.73 : 315,684.64 = 92,185.09 : x
  2. Step 2: Convert to fraction form
    210,642.73/315,684.64 = 92,185.09/x
  3. Step 3: Cross multiply
    210,642.73x = 315,684.64 × 92,185.09
  4. Step 4: Simplify right side
    210,642.73x = 29,101,416,950.02
  5. Step 5: Solve for x
    x = 29,101,416,950.02/210,642.73
  6. Step 6: Final answer
    x = 138,155.34

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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.