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Finding the Fourth Proportional to 205,005.96, 307,645.74 and 71,886.12

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Solution

The fourth proportional to 205,005.96, 307,645.74 and 71,886.12 is: 107,877.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,005.96 : 307,645.74 = 71,886.12 : x
  2. Step 2: Convert to fraction form
    205,005.96/307,645.74 = 71,886.12/x
  3. Step 3: Cross multiply
    205,005.96x = 307,645.74 × 71,886.12
  4. Step 4: Simplify right side
    205,005.96x = 22,115,458,583.13
  5. Step 5: Solve for x
    x = 22,115,458,583.13/205,005.96
  6. Step 6: Final answer
    x = 107,877.15

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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.