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Finding the Fourth Proportional to 177,473.78, 265,966.45 and 77,717.42

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Solution

The fourth proportional to 177,473.78, 265,966.45 and 77,717.42 is: 116,469.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,473.78 : 265,966.45 = 77,717.42 : x
  2. Step 2: Convert to fraction form
    177,473.78/265,966.45 = 77,717.42/x
  3. Step 3: Cross multiply
    177,473.78x = 265,966.45 × 77,717.42
  4. Step 4: Simplify right side
    177,473.78x = 20,670,224,776.43
  5. Step 5: Solve for x
    x = 20,670,224,776.43/177,473.78
  6. Step 6: Final answer
    x = 116,469.18

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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.