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Finding the Fourth Proportional to 192,236.60, 288,354.86 and 139,978.64

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Solution

The fourth proportional to 192,236.60, 288,354.86 and 139,978.64 is: 209,967.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,236.60 : 288,354.86 = 139,978.64 : x
  2. Step 2: Convert to fraction form
    192,236.60/288,354.86 = 139,978.64/x
  3. Step 3: Cross multiply
    192,236.60x = 288,354.86 × 139,978.64
  4. Step 4: Simplify right side
    192,236.60x = 40,363,521,140.19
  5. Step 5: Solve for x
    x = 40,363,521,140.19/192,236.60
  6. Step 6: Final answer
    x = 209,967.93

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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.