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Finding the Fourth Proportional to 128,410.31, 177,206.84 and 71,821.69

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Solution

The fourth proportional to 128,410.31, 177,206.84 and 71,821.69 is: 99,114.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,410.31 : 177,206.84 = 71,821.69 : x
  2. Step 2: Convert to fraction form
    128,410.31/177,206.84 = 71,821.69/x
  3. Step 3: Cross multiply
    128,410.31x = 177,206.84 × 71,821.69
  4. Step 4: Simplify right side
    128,410.31x = 12,727,294,195.57
  5. Step 5: Solve for x
    x = 12,727,294,195.57/128,410.31
  6. Step 6: Final answer
    x = 99,114.27

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1.5x scale

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.