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Finding the Fourth Proportional to 165,237, 228,026.60 and 89,785.50

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Solution

The fourth proportional to 165,237, 228,026.60 and 89,785.50 is: 123,903.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,237 : 228,026.60 = 89,785.50 : x
  2. Step 2: Convert to fraction form
    165,237/228,026.60 = 89,785.50/x
  3. Step 3: Cross multiply
    165,237x = 228,026.60 × 89,785.50
  4. Step 4: Simplify right side
    165,237x = 20,473,482,294.30
  5. Step 5: Solve for x
    x = 20,473,482,294.30/165,237
  6. Step 6: Final answer
    x = 123,903.74

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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.