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Finding the Fourth Proportional to 165,388.50, 228,236.40 and 89,937

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Solution

The fourth proportional to 165,388.50, 228,236.40 and 89,937 is: 124,113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,388.50 : 228,236.40 = 89,937 : x
  2. Step 2: Convert to fraction form
    165,388.50/228,236.40 = 89,937/x
  3. Step 3: Cross multiply
    165,388.50x = 228,236.40 × 89,937
  4. Step 4: Simplify right side
    165,388.50x = 20,526,897,106.80
  5. Step 5: Solve for x
    x = 20,526,897,106.80/165,388.50
  6. Step 6: Final answer
    x = 124,113.21

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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.