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Finding the Fourth Proportional to 128,602.72, 177,471.73 and 71,245.77

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Solution

The fourth proportional to 128,602.72, 177,471.73 and 71,245.77 is: 98,319.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,602.72 : 177,471.73 = 71,245.77 : x
  2. Step 2: Convert to fraction form
    128,602.72/177,471.73 = 71,245.77/x
  3. Step 3: Cross multiply
    128,602.72x = 177,471.73 × 71,245.77
  4. Step 4: Simplify right side
    128,602.72x = 12,644,110,057.08
  5. Step 5: Solve for x
    x = 12,644,110,057.08/128,602.72
  6. Step 6: Final answer
    x = 98,319.15

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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.