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Finding the Fourth Proportional to 74,142, 111,213 and 29,799.36

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Solution

The fourth proportional to 74,142, 111,213 and 29,799.36 is: 44,699.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,142 : 111,213 = 29,799.36 : x
  2. Step 2: Convert to fraction form
    74,142/111,213 = 29,799.36/x
  3. Step 3: Cross multiply
    74,142x = 111,213 × 29,799.36
  4. Step 4: Simplify right side
    74,142x = 3,314,076,223.68
  5. Step 5: Solve for x
    x = 3,314,076,223.68/74,142
  6. Step 6: Final answer
    x = 44,699.04

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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.