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Finding the Fourth Proportional to 105,340, 158,010 and 31,468

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Solution

The fourth proportional to 105,340, 158,010 and 31,468 is: 47,202

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,340 : 158,010 = 31,468 : x
  2. Step 2: Convert to fraction form
    105,340/158,010 = 31,468/x
  3. Step 3: Cross multiply
    105,340x = 158,010 × 31,468
  4. Step 4: Simplify right side
    105,340x = 4,972,258,680
  5. Step 5: Solve for x
    x = 4,972,258,680/105,340
  6. Step 6: Final answer
    x = 47,202

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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.