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Finding the Fourth Proportional to 120,829.60, 181,114.80 and 45,920.80

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Solution

The fourth proportional to 120,829.60, 181,114.80 and 45,920.80 is: 68,831.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,829.60 : 181,114.80 = 45,920.80 : x
  2. Step 2: Convert to fraction form
    120,829.60/181,114.80 = 45,920.80/x
  3. Step 3: Cross multiply
    120,829.60x = 181,114.80 × 45,920.80
  4. Step 4: Simplify right side
    120,829.60x = 8,316,936,507.84
  5. Step 5: Solve for x
    x = 8,316,936,507.84/120,829.60
  6. Step 6: Final answer
    x = 68,831.95

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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.