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Finding the Fourth Proportional to 199,710.89, 275,602.90 and 113,665.65

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Solution

The fourth proportional to 199,710.89, 275,602.90 and 113,665.65 is: 156,859.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,710.89 : 275,602.90 = 113,665.65 : x
  2. Step 2: Convert to fraction form
    199,710.89/275,602.90 = 113,665.65/x
  3. Step 3: Cross multiply
    199,710.89x = 275,602.90 × 113,665.65
  4. Step 4: Simplify right side
    199,710.89x = 31,326,582,770.39
  5. Step 5: Solve for x
    x = 31,326,582,770.39/199,710.89
  6. Step 6: Final answer
    x = 156,859.67

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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.