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Finding the Fourth Proportional to 205,881.77, 284,062.93 and 118,645.50

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Solution

The fourth proportional to 205,881.77, 284,062.93 and 118,645.50 is: 163,699.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,881.77 : 284,062.93 = 118,645.50 : x
  2. Step 2: Convert to fraction form
    205,881.77/284,062.93 = 118,645.50/x
  3. Step 3: Cross multiply
    205,881.77x = 284,062.93 × 118,645.50
  4. Step 4: Simplify right side
    205,881.77x = 33,702,788,998.39
  5. Step 5: Solve for x
    x = 33,702,788,998.39/205,881.77
  6. Step 6: Final answer
    x = 163,699.73

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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.