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Finding the Fourth Proportional to 164,820, 227,451.60 and 89,368.56

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Solution

The fourth proportional to 164,820, 227,451.60 and 89,368.56 is: 123,328.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,820 : 227,451.60 = 89,368.56 : x
  2. Step 2: Convert to fraction form
    164,820/227,451.60 = 89,368.56/x
  3. Step 3: Cross multiply
    164,820x = 227,451.60 × 89,368.56
  4. Step 4: Simplify right side
    164,820x = 20,327,021,961.70
  5. Step 5: Solve for x
    x = 20,327,021,961.70/164,820
  6. Step 6: Final answer
    x = 123,328.61

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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.