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Finding the Fourth Proportional to 105,469.30, 158,157.79 and 31,580.02

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Solution

The fourth proportional to 105,469.30, 158,157.79 and 31,580.02 is: 47,356.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,469.30 : 158,157.79 = 31,580.02 : x
  2. Step 2: Convert to fraction form
    105,469.30/158,157.79 = 31,580.02/x
  3. Step 3: Cross multiply
    105,469.30x = 158,157.79 × 31,580.02
  4. Step 4: Simplify right side
    105,469.30x = 4,994,626,171.36
  5. Step 5: Solve for x
    x = 4,994,626,171.36/105,469.30
  6. Step 6: Final answer
    x = 47,356.21

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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.