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Finding the Fourth Proportional to 177,178.78, 265,768.17 and 72,005.95

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Solution

The fourth proportional to 177,178.78, 265,768.17 and 72,005.95 is: 108,008.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,178.78 : 265,768.17 = 72,005.95 : x
  2. Step 2: Convert to fraction form
    177,178.78/265,768.17 = 72,005.95/x
  3. Step 3: Cross multiply
    177,178.78x = 265,768.17 × 72,005.95
  4. Step 4: Simplify right side
    177,178.78x = 19,136,889,560.61
  5. Step 5: Solve for x
    x = 19,136,889,560.61/177,178.78
  6. Step 6: Final answer
    x = 108,008.93

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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.