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Finding the Fourth Proportional to 120,029.86, 165,632.88 and 66,314.44

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Solution

The fourth proportional to 120,029.86, 165,632.88 and 66,314.44 is: 91,509.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,029.86 : 165,632.88 = 66,314.44 : x
  2. Step 2: Convert to fraction form
    120,029.86/165,632.88 = 66,314.44/x
  3. Step 3: Cross multiply
    120,029.86x = 165,632.88 × 66,314.44
  4. Step 4: Simplify right side
    120,029.86x = 10,983,851,682.79
  5. Step 5: Solve for x
    x = 10,983,851,682.79/120,029.86
  6. Step 6: Final answer
    x = 91,509.33

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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.