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Finding the Fourth Proportional to 128,016, 176,662.08 and 75,024

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Solution

The fourth proportional to 128,016, 176,662.08 and 75,024 is: 103,533.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,016 : 176,662.08 = 75,024 : x
  2. Step 2: Convert to fraction form
    128,016/176,662.08 = 75,024/x
  3. Step 3: Cross multiply
    128,016x = 176,662.08 × 75,024
  4. Step 4: Simplify right side
    128,016x = 13,253,895,889.92
  5. Step 5: Solve for x
    x = 13,253,895,889.92/128,016
  6. Step 6: Final answer
    x = 103,533.12

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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.