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Finding the Fourth Proportional to 165,910.64, 228,957.72 and 90,460.40

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Solution

The fourth proportional to 165,910.64, 228,957.72 and 90,460.40 is: 124,835.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,910.64 : 228,957.72 = 90,460.40 : x
  2. Step 2: Convert to fraction form
    165,910.64/228,957.72 = 90,460.40/x
  3. Step 3: Cross multiply
    165,910.64x = 228,957.72 × 90,460.40
  4. Step 4: Simplify right side
    165,910.64x = 20,711,606,934.29
  5. Step 5: Solve for x
    x = 20,711,606,934.29/165,910.64
  6. Step 6: Final answer
    x = 124,835.92

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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.