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Finding the Fourth Proportional to 105,290.50, 157,963.11 and 31,418.50

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Solution

The fourth proportional to 105,290.50, 157,963.11 and 31,418.50 is: 47,135.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,290.50 : 157,963.11 = 31,418.50 : x
  2. Step 2: Convert to fraction form
    105,290.50/157,963.11 = 31,418.50/x
  3. Step 3: Cross multiply
    105,290.50x = 157,963.11 × 31,418.50
  4. Step 4: Simplify right side
    105,290.50x = 4,962,963,971.54
  5. Step 5: Solve for x
    x = 4,962,963,971.54/105,290.50
  6. Step 6: Final answer
    x = 47,135.91

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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.