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Finding the Fourth Proportional to 74,902.82, 112,354.53 and 18,742.77

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Solution

The fourth proportional to 74,902.82, 112,354.53 and 18,742.77 is: 28,114.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,902.82 : 112,354.53 = 18,742.77 : x
  2. Step 2: Convert to fraction form
    74,902.82/112,354.53 = 18,742.77/x
  3. Step 3: Cross multiply
    74,902.82x = 112,354.53 × 18,742.77
  4. Step 4: Simplify right side
    74,902.82x = 2,105,835,114.25
  5. Step 5: Solve for x
    x = 2,105,835,114.25/74,902.82
  6. Step 6: Final answer
    x = 28,114.23

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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.