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Finding the Fourth Proportional to 165,908.76, 228,959.10 and 90,458.52

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Solution

The fourth proportional to 165,908.76, 228,959.10 and 90,458.52 is: 124,835.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,908.76 : 228,959.10 = 90,458.52 : x
  2. Step 2: Convert to fraction form
    165,908.76/228,959.10 = 90,458.52/x
  3. Step 3: Cross multiply
    165,908.76x = 228,959.10 × 90,458.52
  4. Step 4: Simplify right side
    165,908.76x = 20,711,301,326.53
  5. Step 5: Solve for x
    x = 20,711,301,326.53/165,908.76
  6. Step 6: Final answer
    x = 124,835.49

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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.