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Finding the Fourth Proportional to 105,342, 158,013 and 31,470

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Solution

The fourth proportional to 105,342, 158,013 and 31,470 is: 47,205

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,342 : 158,013 = 31,470 : x
  2. Step 2: Convert to fraction form
    105,342/158,013 = 31,470/x
  3. Step 3: Cross multiply
    105,342x = 158,013 × 31,470
  4. Step 4: Simplify right side
    105,342x = 4,972,669,110
  5. Step 5: Solve for x
    x = 4,972,669,110/105,342
  6. Step 6: Final answer
    x = 47,205

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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.