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Finding the Fourth Proportional to 161,788, 242,729.88 and 82,957.54

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Solution

The fourth proportional to 161,788, 242,729.88 and 82,957.54 is: 124,460.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,788 : 242,729.88 = 82,957.54 : x
  2. Step 2: Convert to fraction form
    161,788/242,729.88 = 82,957.54/x
  3. Step 3: Cross multiply
    161,788x = 242,729.88 × 82,957.54
  4. Step 4: Simplify right side
    161,788x = 20,136,273,729.30
  5. Step 5: Solve for x
    x = 20,136,273,729.30/161,788
  6. Step 6: Final answer
    x = 124,460.86

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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.