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Finding the Fourth Proportional to 83,699.13, 115,505.62 and 45,973.38

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Solution

The fourth proportional to 83,699.13, 115,505.62 and 45,973.38 is: 63,443.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,699.13 : 115,505.62 = 45,973.38 : x
  2. Step 2: Convert to fraction form
    83,699.13/115,505.62 = 45,973.38/x
  3. Step 3: Cross multiply
    83,699.13x = 115,505.62 × 45,973.38
  4. Step 4: Simplify right side
    83,699.13x = 5,310,183,645.46
  5. Step 5: Solve for x
    x = 5,310,183,645.46/83,699.13
  6. Step 6: Final answer
    x = 63,443.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.