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Finding the Fourth Proportional to 105,042, 157,563 and 31,170

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Solution

The fourth proportional to 105,042, 157,563 and 31,170 is: 46,755

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,042 : 157,563 = 31,170 : x
  2. Step 2: Convert to fraction form
    105,042/157,563 = 31,170/x
  3. Step 3: Cross multiply
    105,042x = 157,563 × 31,170
  4. Step 4: Simplify right side
    105,042x = 4,911,238,710
  5. Step 5: Solve for x
    x = 4,911,238,710/105,042
  6. Step 6: Final answer
    x = 46,755

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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.