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Finding the Fourth Proportional to 103,162.65, 154,713.13 and 31,112.54

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Solution

The fourth proportional to 103,162.65, 154,713.13 and 31,112.54 is: 46,659.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,162.65 : 154,713.13 = 31,112.54 : x
  2. Step 2: Convert to fraction form
    103,162.65/154,713.13 = 31,112.54/x
  3. Step 3: Cross multiply
    103,162.65x = 154,713.13 × 31,112.54
  4. Step 4: Simplify right side
    103,162.65x = 4,813,518,445.65
  5. Step 5: Solve for x
    x = 4,813,518,445.65/103,162.65
  6. Step 6: Final answer
    x = 46,659.51

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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.