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Finding the Fourth Proportional to 74,146.56, 111,218.56 and 18,742.40

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Solution

The fourth proportional to 74,146.56, 111,218.56 and 18,742.40 is: 28,113.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,146.56 : 111,218.56 = 18,742.40 : x
  2. Step 2: Convert to fraction form
    74,146.56/111,218.56 = 18,742.40/x
  3. Step 3: Cross multiply
    74,146.56x = 111,218.56 × 18,742.40
  4. Step 4: Simplify right side
    74,146.56x = 2,084,502,738.94
  5. Step 5: Solve for x
    x = 2,084,502,738.94/74,146.56
  6. Step 6: Final answer
    x = 28,113.28

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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.