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Finding the Fourth Proportional to 105,174, 157,761 and 31,302

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Solution

The fourth proportional to 105,174, 157,761 and 31,302 is: 46,953

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,174 : 157,761 = 31,302 : x
  2. Step 2: Convert to fraction form
    105,174/157,761 = 31,302/x
  3. Step 3: Cross multiply
    105,174x = 157,761 × 31,302
  4. Step 4: Simplify right side
    105,174x = 4,938,234,822
  5. Step 5: Solve for x
    x = 4,938,234,822/105,174
  6. Step 6: Final answer
    x = 46,953

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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.