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Finding the Fourth Proportional to 137,447.85, 206,177.22 and 65,383.45

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Solution

The fourth proportional to 137,447.85, 206,177.22 and 65,383.45 is: 98,077.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,447.85 : 206,177.22 = 65,383.45 : x
  2. Step 2: Convert to fraction form
    137,447.85/206,177.22 = 65,383.45/x
  3. Step 3: Cross multiply
    137,447.85x = 206,177.22 × 65,383.45
  4. Step 4: Simplify right side
    137,447.85x = 13,480,577,955.01
  5. Step 5: Solve for x
    x = 13,480,577,955.01/137,447.85
  6. Step 6: Final answer
    x = 98,077.77

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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.