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Finding the Fourth Proportional to 192,151.74, 288,665 and 139,007.64

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Solution

The fourth proportional to 192,151.74, 288,665 and 139,007.64 is: 208,827.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,151.74 : 288,665 = 139,007.64 : x
  2. Step 2: Convert to fraction form
    192,151.74/288,665 = 139,007.64/x
  3. Step 3: Cross multiply
    192,151.74x = 288,665 × 139,007.64
  4. Step 4: Simplify right side
    192,151.74x = 40,126,640,400.60
  5. Step 5: Solve for x
    x = 40,126,640,400.60/192,151.74
  6. Step 6: Final answer
    x = 208,827.88

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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.