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Finding the Fourth Proportional to 162,430, 224,214.48 and 122,260

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Solution

The fourth proportional to 162,430, 224,214.48 and 122,260 is: 168,764.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,430 : 224,214.48 = 122,260 : x
  2. Step 2: Convert to fraction form
    162,430/224,214.48 = 122,260/x
  3. Step 3: Cross multiply
    162,430x = 224,214.48 × 122,260
  4. Step 4: Simplify right side
    162,430x = 27,412,462,324.80
  5. Step 5: Solve for x
    x = 27,412,462,324.80/162,430
  6. Step 6: Final answer
    x = 168,764.77

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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.