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Finding the Fourth Proportional to 165,984, 228,978.96 and 112,287.84

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Solution

The fourth proportional to 165,984, 228,978.96 and 112,287.84 is: 154,903.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,984 : 228,978.96 = 112,287.84 : x
  2. Step 2: Convert to fraction form
    165,984/228,978.96 = 112,287.84/x
  3. Step 3: Cross multiply
    165,984x = 228,978.96 × 112,287.84
  4. Step 4: Simplify right side
    165,984x = 25,711,552,823.85
  5. Step 5: Solve for x
    x = 25,711,552,823.85/165,984
  6. Step 6: Final answer
    x = 154,903.80

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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.