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Finding the Fourth Proportional to 162,057.70, 242,794.95 and 138,729.70

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Solution

The fourth proportional to 162,057.70, 242,794.95 and 138,729.70 is: 207,844.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,057.70 : 242,794.95 = 138,729.70 : x
  2. Step 2: Convert to fraction form
    162,057.70/242,794.95 = 138,729.70/x
  3. Step 3: Cross multiply
    162,057.70x = 242,794.95 × 138,729.70
  4. Step 4: Simplify right side
    162,057.70x = 33,682,870,575.02
  5. Step 5: Solve for x
    x = 33,682,870,575.02/162,057.70
  6. Step 6: Final answer
    x = 207,844.93

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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.