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Finding the Fourth Proportional to 120,645.07, 180,967.61 and 65,349.07

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Solution

The fourth proportional to 120,645.07, 180,967.61 and 65,349.07 is: 98,023.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,645.07 : 180,967.61 = 65,349.07 : x
  2. Step 2: Convert to fraction form
    120,645.07/180,967.61 = 65,349.07/x
  3. Step 3: Cross multiply
    120,645.07x = 180,967.61 × 65,349.07
  4. Step 4: Simplify right side
    120,645.07x = 11,826,065,013.62
  5. Step 5: Solve for x
    x = 11,826,065,013.62/120,645.07
  6. Step 6: Final answer
    x = 98,023.61

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1.5x scale

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.