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Finding the Fourth Proportional to 105,015.80, 157,469.30 and 31,134.20

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Solution

The fourth proportional to 105,015.80, 157,469.30 and 31,134.20 is: 46,685.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,015.80 : 157,469.30 = 31,134.20 : x
  2. Step 2: Convert to fraction form
    105,015.80/157,469.30 = 31,134.20/x
  3. Step 3: Cross multiply
    105,015.80x = 157,469.30 × 31,134.20
  4. Step 4: Simplify right side
    105,015.80x = 4,902,680,680.06
  5. Step 5: Solve for x
    x = 4,902,680,680.06/105,015.80
  6. Step 6: Final answer
    x = 46,685.17

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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.