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Finding the Fourth Proportional to 105,084, 157,626 and 31,212

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Solution

The fourth proportional to 105,084, 157,626 and 31,212 is: 46,818

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,084 : 157,626 = 31,212 : x
  2. Step 2: Convert to fraction form
    105,084/157,626 = 31,212/x
  3. Step 3: Cross multiply
    105,084x = 157,626 × 31,212
  4. Step 4: Simplify right side
    105,084x = 4,919,822,712
  5. Step 5: Solve for x
    x = 4,919,822,712/105,084
  6. Step 6: Final answer
    x = 46,818

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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.