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Finding the Fourth Proportional to 165,405, 228,258.90 and 89,955.12

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Solution

The fourth proportional to 165,405, 228,258.90 and 89,955.12 is: 124,138.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,405 : 228,258.90 = 89,955.12 : x
  2. Step 2: Convert to fraction form
    165,405/228,258.90 = 89,955.12/x
  3. Step 3: Cross multiply
    165,405x = 228,258.90 × 89,955.12
  4. Step 4: Simplify right side
    165,405x = 20,533,056,740.57
  5. Step 5: Solve for x
    x = 20,533,056,740.57/165,405
  6. Step 6: Final answer
    x = 124,138.07

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1.5x scale

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.