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Finding the Fourth Proportional to 117,270, 175,905 and 51,606

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Solution

The fourth proportional to 117,270, 175,905 and 51,606 is: 77,409

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,270 : 175,905 = 51,606 : x
  2. Step 2: Convert to fraction form
    117,270/175,905 = 51,606/x
  3. Step 3: Cross multiply
    117,270x = 175,905 × 51,606
  4. Step 4: Simplify right side
    117,270x = 9,077,753,430
  5. Step 5: Solve for x
    x = 9,077,753,430/117,270
  6. Step 6: Final answer
    x = 77,409

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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.