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Finding the Fourth Proportional to 128,222, 192,309.24 and 34,715.60

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Solution

The fourth proportional to 128,222, 192,309.24 and 34,715.60 is: 52,066.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,222 : 192,309.24 = 34,715.60 : x
  2. Step 2: Convert to fraction form
    128,222/192,309.24 = 34,715.60/x
  3. Step 3: Cross multiply
    128,222x = 192,309.24 × 34,715.60
  4. Step 4: Simplify right side
    128,222x = 6,676,130,652.14
  5. Step 5: Solve for x
    x = 6,676,130,652.14/128,222
  6. Step 6: Final answer
    x = 52,066.97

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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.