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Finding the Fourth Proportional to 74,642.50, 111,964.16 and 19,238.50

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Solution

The fourth proportional to 74,642.50, 111,964.16 and 19,238.50 is: 28,857.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,642.50 : 111,964.16 = 19,238.50 : x
  2. Step 2: Convert to fraction form
    74,642.50/111,964.16 = 19,238.50/x
  3. Step 3: Cross multiply
    74,642.50x = 111,964.16 × 19,238.50
  4. Step 4: Simplify right side
    74,642.50x = 2,154,022,492.16
  5. Step 5: Solve for x
    x = 2,154,022,492.16/74,642.50
  6. Step 6: Final answer
    x = 28,857.86

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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.