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Finding the Fourth Proportional to 105,162.75, 157,744.13 and 31,290.75

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Solution

The fourth proportional to 105,162.75, 157,744.13 and 31,290.75 is: 46,936.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,162.75 : 157,744.13 = 31,290.75 : x
  2. Step 2: Convert to fraction form
    105,162.75/157,744.13 = 31,290.75/x
  3. Step 3: Cross multiply
    105,162.75x = 157,744.13 × 31,290.75
  4. Step 4: Simplify right side
    105,162.75x = 4,935,931,979.34
  5. Step 5: Solve for x
    x = 4,935,931,979.34/105,162.75
  6. Step 6: Final answer
    x = 46,936.13

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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.