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Finding the Fourth Proportional to 120,108.98, 165,733.48 and 69,102.34

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Solution

The fourth proportional to 120,108.98, 165,733.48 and 69,102.34 is: 95,351.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,108.98 : 165,733.48 = 69,102.34 : x
  2. Step 2: Convert to fraction form
    120,108.98/165,733.48 = 69,102.34/x
  3. Step 3: Cross multiply
    120,108.98x = 165,733.48 × 69,102.34
  4. Step 4: Simplify right side
    120,108.98x = 11,452,571,284.34
  5. Step 5: Solve for x
    x = 11,452,571,284.34/120,108.98
  6. Step 6: Final answer
    x = 95,351.50

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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.