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Finding the Fourth Proportional to 177,206.36, 265,743.30 and 71,989.88

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Solution

The fourth proportional to 177,206.36, 265,743.30 and 71,989.88 is: 107,957.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,206.36 : 265,743.30 = 71,989.88 : x
  2. Step 2: Convert to fraction form
    177,206.36/265,743.30 = 71,989.88/x
  3. Step 3: Cross multiply
    177,206.36x = 265,743.30 × 71,989.88
  4. Step 4: Simplify right side
    177,206.36x = 19,130,828,277.80
  5. Step 5: Solve for x
    x = 19,130,828,277.80/177,206.36
  6. Step 6: Final answer
    x = 107,957.91

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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.