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Finding the Fourth Proportional to 105,702, 158,553 and 31,830

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Solution

The fourth proportional to 105,702, 158,553 and 31,830 is: 47,745

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,702 : 158,553 = 31,830 : x
  2. Step 2: Convert to fraction form
    105,702/158,553 = 31,830/x
  3. Step 3: Cross multiply
    105,702x = 158,553 × 31,830
  4. Step 4: Simplify right side
    105,702x = 5,046,741,990
  5. Step 5: Solve for x
    x = 5,046,741,990/105,702
  6. Step 6: Final answer
    x = 47,745

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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.