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Finding the Fourth Proportional to 165,842.82, 228,900 and 105,401.70

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Solution

The fourth proportional to 165,842.82, 228,900 and 105,401.70 is: 145,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,842.82 : 228,900 = 105,401.70 : x
  2. Step 2: Convert to fraction form
    165,842.82/228,900 = 105,401.70/x
  3. Step 3: Cross multiply
    165,842.82x = 228,900 × 105,401.70
  4. Step 4: Simplify right side
    165,842.82x = 24,126,449,130
  5. Step 5: Solve for x
    x = 24,126,449,130/165,842.82
  6. Step 6: Final answer
    x = 145,477.80

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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.