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Finding the Fourth Proportional to 164,720, 227,313.80 and 89,268.50

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Solution

The fourth proportional to 164,720, 227,313.80 and 89,268.50 is: 123,190.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,720 : 227,313.80 = 89,268.50 : x
  2. Step 2: Convert to fraction form
    164,720/227,313.80 = 89,268.50/x
  3. Step 3: Cross multiply
    164,720x = 227,313.80 × 89,268.50
  4. Step 4: Simplify right side
    164,720x = 20,291,961,955.30
  5. Step 5: Solve for x
    x = 20,291,961,955.30/164,720
  6. Step 6: Final answer
    x = 123,190.64

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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.