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Finding the Fourth Proportional to 320,066.96, 480,100.60 and 83,409.04

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Solution

The fourth proportional to 320,066.96, 480,100.60 and 83,409.04 is: 125,113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,066.96 : 480,100.60 = 83,409.04 : x
  2. Step 2: Convert to fraction form
    320,066.96/480,100.60 = 83,409.04/x
  3. Step 3: Cross multiply
    320,066.96x = 480,100.60 × 83,409.04
  4. Step 4: Simplify right side
    320,066.96x = 40,044,730,149.42
  5. Step 5: Solve for x
    x = 40,044,730,149.42/320,066.96
  6. Step 6: Final answer
    x = 125,113.60

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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.