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Finding the Fourth Proportional to 74,212, 102,412.80 and 40,221.04

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Solution

The fourth proportional to 74,212, 102,412.80 and 40,221.04 is: 55,505.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,212 : 102,412.80 = 40,221.04 : x
  2. Step 2: Convert to fraction form
    74,212/102,412.80 = 40,221.04/x
  3. Step 3: Cross multiply
    74,212x = 102,412.80 × 40,221.04
  4. Step 4: Simplify right side
    74,212x = 4,119,149,325.31
  5. Step 5: Solve for x
    x = 4,119,149,325.31/74,212
  6. Step 6: Final answer
    x = 55,505.17

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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.