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Finding the Fourth Proportional to 205,179.62, 307,877.76 and 145,593.14

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Solution

The fourth proportional to 205,179.62, 307,877.76 and 145,593.14 is: 218,466.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,179.62 : 307,877.76 = 145,593.14 : x
  2. Step 2: Convert to fraction form
    205,179.62/307,877.76 = 145,593.14/x
  3. Step 3: Cross multiply
    205,179.62x = 307,877.76 × 145,593.14
  4. Step 4: Simplify right side
    205,179.62x = 44,824,888,275.18
  5. Step 5: Solve for x
    x = 44,824,888,275.18/205,179.62
  6. Step 6: Final answer
    x = 218,466.58

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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.