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Finding the Fourth Proportional to 165,930.36, 228,988.62 and 90,483

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Solution

The fourth proportional to 165,930.36, 228,988.62 and 90,483 is: 124,869.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,930.36 : 228,988.62 = 90,483 : x
  2. Step 2: Convert to fraction form
    165,930.36/228,988.62 = 90,483/x
  3. Step 3: Cross multiply
    165,930.36x = 228,988.62 × 90,483
  4. Step 4: Simplify right side
    165,930.36x = 20,719,577,303.46
  5. Step 5: Solve for x
    x = 20,719,577,303.46/165,930.36
  6. Step 6: Final answer
    x = 124,869.12

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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.