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Finding the Fourth Proportional to 49,579, 68,422.68 and 30,719.80

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Solution

The fourth proportional to 49,579, 68,422.68 and 30,719.80 is: 42,395.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,579 : 68,422.68 = 30,719.80 : x
  2. Step 2: Convert to fraction form
    49,579/68,422.68 = 30,719.80/x
  3. Step 3: Cross multiply
    49,579x = 68,422.68 × 30,719.80
  4. Step 4: Simplify right side
    49,579x = 2,101,931,045.06
  5. Step 5: Solve for x
    x = 2,101,931,045.06/49,579
  6. Step 6: Final answer
    x = 42,395.59

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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.