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Finding the Fourth Proportional to 120,102.98, 165,742.15 and 65,655.39

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Solution

The fourth proportional to 120,102.98, 165,742.15 and 65,655.39 is: 90,604.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,102.98 : 165,742.15 = 65,655.39 : x
  2. Step 2: Convert to fraction form
    120,102.98/165,742.15 = 65,655.39/x
  3. Step 3: Cross multiply
    120,102.98x = 165,742.15 × 65,655.39
  4. Step 4: Simplify right side
    120,102.98x = 10,881,865,865.37
  5. Step 5: Solve for x
    x = 10,881,865,865.37/120,102.98
  6. Step 6: Final answer
    x = 90,604.46

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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.