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Finding the Fourth Proportional to 31,102, 42,921.48 and 17,671.12

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Solution

The fourth proportional to 31,102, 42,921.48 and 17,671.12 is: 24,386.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,102 : 42,921.48 = 17,671.12 : x
  2. Step 2: Convert to fraction form
    31,102/42,921.48 = 17,671.12/x
  3. Step 3: Cross multiply
    31,102x = 42,921.48 × 17,671.12
  4. Step 4: Simplify right side
    31,102x = 758,470,623.66
  5. Step 5: Solve for x
    x = 758,470,623.66/31,102
  6. Step 6: Final answer
    x = 24,386.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.