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Finding the Fourth Proportional to 105,513.25, 158,269.88 and 31,641.25

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Solution

The fourth proportional to 105,513.25, 158,269.88 and 31,641.25 is: 47,461.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,513.25 : 158,269.88 = 31,641.25 : x
  2. Step 2: Convert to fraction form
    105,513.25/158,269.88 = 31,641.25/x
  3. Step 3: Cross multiply
    105,513.25x = 158,269.88 × 31,641.25
  4. Step 4: Simplify right side
    105,513.25x = 5,007,856,840.55
  5. Step 5: Solve for x
    x = 5,007,856,840.55/105,513.25
  6. Step 6: Final answer
    x = 47,461.88

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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.