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Finding the Fourth Proportional to 175,902, 263,853 and 77,406

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Solution

The fourth proportional to 175,902, 263,853 and 77,406 is: 116,109

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,902 : 263,853 = 77,406 : x
  2. Step 2: Convert to fraction form
    175,902/263,853 = 77,406/x
  3. Step 3: Cross multiply
    175,902x = 263,853 × 77,406
  4. Step 4: Simplify right side
    175,902x = 20,423,805,318
  5. Step 5: Solve for x
    x = 20,423,805,318/175,902
  6. Step 6: Final answer
    x = 116,109

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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.