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Finding the Fourth Proportional to 31,120.42, 46,686.70 and 10,065.68

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Solution

The fourth proportional to 31,120.42, 46,686.70 and 10,065.68 is: 15,100.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,120.42 : 46,686.70 = 10,065.68 : x
  2. Step 2: Convert to fraction form
    31,120.42/46,686.70 = 10,065.68/x
  3. Step 3: Cross multiply
    31,120.42x = 46,686.70 × 10,065.68
  4. Step 4: Simplify right side
    31,120.42x = 469,933,382.46
  5. Step 5: Solve for x
    x = 469,933,382.46/31,120.42
  6. Step 6: Final answer
    x = 15,100.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.