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Finding the Fourth Proportional to 164,638.32, 227,202 and 89,186.88

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Solution

The fourth proportional to 164,638.32, 227,202 and 89,186.88 is: 123,078.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,638.32 : 227,202 = 89,186.88 : x
  2. Step 2: Convert to fraction form
    164,638.32/227,202 = 89,186.88/x
  3. Step 3: Cross multiply
    164,638.32x = 227,202 × 89,186.88
  4. Step 4: Simplify right side
    164,638.32x = 20,263,437,509.76
  5. Step 5: Solve for x
    x = 20,263,437,509.76/164,638.32
  6. Step 6: Final answer
    x = 123,078.50

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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.