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Finding the Fourth Proportional to 70,382.89, 105,574.34 and 17,792.38

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Solution

The fourth proportional to 70,382.89, 105,574.34 and 17,792.38 is: 26,688.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,382.89 : 105,574.34 = 17,792.38 : x
  2. Step 2: Convert to fraction form
    70,382.89/105,574.34 = 17,792.38/x
  3. Step 3: Cross multiply
    70,382.89x = 105,574.34 × 17,792.38
  4. Step 4: Simplify right side
    70,382.89x = 1,878,418,258.04
  5. Step 5: Solve for x
    x = 1,878,418,258.04/70,382.89
  6. Step 6: Final answer
    x = 26,688.56

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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.