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Finding the Fourth Proportional to 84,097.69, 115,919.48 and 61,400.72

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Solution

The fourth proportional to 84,097.69, 115,919.48 and 61,400.72 is: 84,634.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,097.69 : 115,919.48 = 61,400.72 : x
  2. Step 2: Convert to fraction form
    84,097.69/115,919.48 = 61,400.72/x
  3. Step 3: Cross multiply
    84,097.69x = 115,919.48 × 61,400.72
  4. Step 4: Simplify right side
    84,097.69x = 7,117,539,977.33
  5. Step 5: Solve for x
    x = 7,117,539,977.33/84,097.69
  6. Step 6: Final answer
    x = 84,634.19

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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.