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Finding the Fourth Proportional to 273,072, 409,677.12 and 76,080

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Solution

The fourth proportional to 273,072, 409,677.12 and 76,080 is: 114,139.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,072 : 409,677.12 = 76,080 : x
  2. Step 2: Convert to fraction form
    273,072/409,677.12 = 76,080/x
  3. Step 3: Cross multiply
    273,072x = 409,677.12 × 76,080
  4. Step 4: Simplify right side
    273,072x = 31,168,235,289.60
  5. Step 5: Solve for x
    x = 31,168,235,289.60/273,072
  6. Step 6: Final answer
    x = 114,139.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.