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Finding the Fourth Proportional to 115,770.83, 159,610.58 and 83,478.42

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Solution

The fourth proportional to 115,770.83, 159,610.58 and 83,478.42 is: 115,089.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,770.83 : 159,610.58 = 83,478.42 : x
  2. Step 2: Convert to fraction form
    115,770.83/159,610.58 = 83,478.42/x
  3. Step 3: Cross multiply
    115,770.83x = 159,610.58 × 83,478.42
  4. Step 4: Simplify right side
    115,770.83x = 13,324,038,616.29
  5. Step 5: Solve for x
    x = 13,324,038,616.29/115,770.83
  6. Step 6: Final answer
    x = 115,089.78

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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.