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Finding the Fourth Proportional to 120,069, 165,698.53 and 66,357.50

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Solution

The fourth proportional to 120,069, 165,698.53 and 66,357.50 is: 91,575.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,069 : 165,698.53 = 66,357.50 : x
  2. Step 2: Convert to fraction form
    120,069/165,698.53 = 66,357.50/x
  3. Step 3: Cross multiply
    120,069x = 165,698.53 × 66,357.50
  4. Step 4: Simplify right side
    120,069x = 10,995,339,210.09
  5. Step 5: Solve for x
    x = 10,995,339,210.09/120,069
  6. Step 6: Final answer
    x = 91,575.17

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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.