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Finding the Fourth Proportional to 205,159.68, 306,929.76 and 155,383.20

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Solution

The fourth proportional to 205,159.68, 306,929.76 and 155,383.20 is: 232,461.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,159.68 : 306,929.76 = 155,383.20 : x
  2. Step 2: Convert to fraction form
    205,159.68/306,929.76 = 155,383.20/x
  3. Step 3: Cross multiply
    205,159.68x = 306,929.76 × 155,383.20
  4. Step 4: Simplify right side
    205,159.68x = 47,691,728,284.03
  5. Step 5: Solve for x
    x = 47,691,728,284.03/205,159.68
  6. Step 6: Final answer
    x = 232,461.51

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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.