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Finding the Fourth Proportional to 70,454.30, 105,679.90 and 17,146.51

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Solution

The fourth proportional to 70,454.30, 105,679.90 and 17,146.51 is: 25,719.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,454.30 : 105,679.90 = 17,146.51 : x
  2. Step 2: Convert to fraction form
    70,454.30/105,679.90 = 17,146.51/x
  3. Step 3: Cross multiply
    70,454.30x = 105,679.90 × 17,146.51
  4. Step 4: Simplify right side
    70,454.30x = 1,812,041,219.38
  5. Step 5: Solve for x
    x = 1,812,041,219.38/70,454.30
  6. Step 6: Final answer
    x = 25,719.39

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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.