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Finding the Fourth Proportional to 165,898.64, 228,941.16 and 90,448.40

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Solution

The fourth proportional to 165,898.64, 228,941.16 and 90,448.40 is: 124,819.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,898.64 : 228,941.16 = 90,448.40 : x
  2. Step 2: Convert to fraction form
    165,898.64/228,941.16 = 90,448.40/x
  3. Step 3: Cross multiply
    165,898.64x = 228,941.16 × 90,448.40
  4. Step 4: Simplify right side
    165,898.64x = 20,707,361,616.14
  5. Step 5: Solve for x
    x = 20,707,361,616.14/165,898.64
  6. Step 6: Final answer
    x = 124,819.36

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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.