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Finding the Fourth Proportional to 121,257.56, 167,201.70 and 83,023.40

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Solution

The fourth proportional to 121,257.56, 167,201.70 and 83,023.40 is: 114,480.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,257.56 : 167,201.70 = 83,023.40 : x
  2. Step 2: Convert to fraction form
    121,257.56/167,201.70 = 83,023.40/x
  3. Step 3: Cross multiply
    121,257.56x = 167,201.70 × 83,023.40
  4. Step 4: Simplify right side
    121,257.56x = 13,881,653,619.78
  5. Step 5: Solve for x
    x = 13,881,653,619.78/121,257.56
  6. Step 6: Final answer
    x = 114,480.73

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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.