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Finding the Fourth Proportional to 115,770.88, 159,610.67 and 83,478.48

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Solution

The fourth proportional to 115,770.88, 159,610.67 and 83,478.48 is: 115,089.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,770.88 : 159,610.67 = 83,478.48 : x
  2. Step 2: Convert to fraction form
    115,770.88/159,610.67 = 83,478.48/x
  3. Step 3: Cross multiply
    115,770.88x = 159,610.67 × 83,478.48
  4. Step 4: Simplify right side
    115,770.88x = 13,324,054,907.94
  5. Step 5: Solve for x
    x = 13,324,054,907.94/115,770.88
  6. Step 6: Final answer
    x = 115,089.86

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1.5x scale

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.