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Finding the Fourth Proportional to 113,712.66, 170,394.03 and 66,914.10

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Solution

The fourth proportional to 113,712.66, 170,394.03 and 66,914.10 is: 100,268.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,712.66 : 170,394.03 = 66,914.10 : x
  2. Step 2: Convert to fraction form
    113,712.66/170,394.03 = 66,914.10/x
  3. Step 3: Cross multiply
    113,712.66x = 170,394.03 × 66,914.10
  4. Step 4: Simplify right side
    113,712.66x = 11,401,763,162.82
  5. Step 5: Solve for x
    x = 11,401,763,162.82/113,712.66
  6. Step 6: Final answer
    x = 100,268.19

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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.