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Finding the Fourth Proportional to 165,805.50, 228,811.62 and 90,354

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Solution

The fourth proportional to 165,805.50, 228,811.62 and 90,354 is: 124,688.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,805.50 : 228,811.62 = 90,354 : x
  2. Step 2: Convert to fraction form
    165,805.50/228,811.62 = 90,354/x
  3. Step 3: Cross multiply
    165,805.50x = 228,811.62 × 90,354
  4. Step 4: Simplify right side
    165,805.50x = 20,674,045,113.48
  5. Step 5: Solve for x
    x = 20,674,045,113.48/165,805.50
  6. Step 6: Final answer
    x = 124,688.54

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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.