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Finding the Fourth Proportional to 188,830, 260,582.16 and 108,255.52

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Solution

The fourth proportional to 188,830, 260,582.16 and 108,255.52 is: 149,390.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,830 : 260,582.16 = 108,255.52 : x
  2. Step 2: Convert to fraction form
    188,830/260,582.16 = 108,255.52/x
  3. Step 3: Cross multiply
    188,830x = 260,582.16 × 108,255.52
  4. Step 4: Simplify right side
    188,830x = 28,209,457,233.52
  5. Step 5: Solve for x
    x = 28,209,457,233.52/188,830
  6. Step 6: Final answer
    x = 149,390.76

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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.