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Finding the Fourth Proportional to 273,030, 409,545 and 76,038

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Solution

The fourth proportional to 273,030, 409,545 and 76,038 is: 114,057

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,030 : 409,545 = 76,038 : x
  2. Step 2: Convert to fraction form
    273,030/409,545 = 76,038/x
  3. Step 3: Cross multiply
    273,030x = 409,545 × 76,038
  4. Step 4: Simplify right side
    273,030x = 31,140,982,710
  5. Step 5: Solve for x
    x = 31,140,982,710/273,030
  6. Step 6: Final answer
    x = 114,057

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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.