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Finding the Fourth Proportional to 177,186.68, 265,890.70 and 72,005.60

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Solution

The fourth proportional to 177,186.68, 265,890.70 and 72,005.60 is: 108,053.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,186.68 : 265,890.70 = 72,005.60 : x
  2. Step 2: Convert to fraction form
    177,186.68/265,890.70 = 72,005.60/x
  3. Step 3: Cross multiply
    177,186.68x = 265,890.70 × 72,005.60
  4. Step 4: Simplify right side
    177,186.68x = 19,145,619,387.92
  5. Step 5: Solve for x
    x = 19,145,619,387.92/177,186.68
  6. Step 6: Final answer
    x = 108,053.38

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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.