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Finding the Fourth Proportional to 199,650, 275,156.14 and 165,478.53

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Solution

The fourth proportional to 199,650, 275,156.14 and 165,478.53 is: 228,061.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,650 : 275,156.14 = 165,478.53 : x
  2. Step 2: Convert to fraction form
    199,650/275,156.14 = 165,478.53/x
  3. Step 3: Cross multiply
    199,650x = 275,156.14 × 165,478.53
  4. Step 4: Simplify right side
    199,650x = 45,532,433,567.67
  5. Step 5: Solve for x
    x = 45,532,433,567.67/199,650
  6. Step 6: Final answer
    x = 228,061.28

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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.