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Finding the Fourth Proportional to 121,805, 182,736.68 and 38,699

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Solution

The fourth proportional to 121,805, 182,736.68 and 38,699 is: 58,057.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,805 : 182,736.68 = 38,699 : x
  2. Step 2: Convert to fraction form
    121,805/182,736.68 = 38,699/x
  3. Step 3: Cross multiply
    121,805x = 182,736.68 × 38,699
  4. Step 4: Simplify right side
    121,805x = 7,071,726,779.32
  5. Step 5: Solve for x
    x = 7,071,726,779.32/121,805
  6. Step 6: Final answer
    x = 58,057.77

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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.