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Finding the Fourth Proportional to 165,880.80, 228,911.76 and 102,216.48

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Solution

The fourth proportional to 165,880.80, 228,911.76 and 102,216.48 is: 141,056.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,880.80 : 228,911.76 = 102,216.48 : x
  2. Step 2: Convert to fraction form
    165,880.80/228,911.76 = 102,216.48/x
  3. Step 3: Cross multiply
    165,880.80x = 228,911.76 × 102,216.48
  4. Step 4: Simplify right side
    165,880.80x = 23,398,554,337.80
  5. Step 5: Solve for x
    x = 23,398,554,337.80/165,880.80
  6. Step 6: Final answer
    x = 141,056.44

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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.