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Finding the Fourth Proportional to 81,302.90, 121,992.69 and 28,737.14

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Solution

The fourth proportional to 81,302.90, 121,992.69 and 28,737.14 is: 43,119.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,302.90 : 121,992.69 = 28,737.14 : x
  2. Step 2: Convert to fraction form
    81,302.90/121,992.69 = 28,737.14/x
  3. Step 3: Cross multiply
    81,302.90x = 121,992.69 × 28,737.14
  4. Step 4: Simplify right side
    81,302.90x = 3,505,721,011.51
  5. Step 5: Solve for x
    x = 3,505,721,011.51/81,302.90
  6. Step 6: Final answer
    x = 43,119.26

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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.