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Finding the Fourth Proportional to 96,828, 145,242 and 31,164

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Solution

The fourth proportional to 96,828, 145,242 and 31,164 is: 46,746

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,828 : 145,242 = 31,164 : x
  2. Step 2: Convert to fraction form
    96,828/145,242 = 31,164/x
  3. Step 3: Cross multiply
    96,828x = 145,242 × 31,164
  4. Step 4: Simplify right side
    96,828x = 4,526,321,688
  5. Step 5: Solve for x
    x = 4,526,321,688/96,828
  6. Step 6: Final answer
    x = 46,746

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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.