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Finding the Fourth Proportional to 102,857.51, 154,347.57 and 45,927

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Solution

The fourth proportional to 102,857.51, 154,347.57 and 45,927 is: 68,917.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,857.51 : 154,347.57 = 45,927 : x
  2. Step 2: Convert to fraction form
    102,857.51/154,347.57 = 45,927/x
  3. Step 3: Cross multiply
    102,857.51x = 154,347.57 × 45,927
  4. Step 4: Simplify right side
    102,857.51x = 7,088,720,847.39
  5. Step 5: Solve for x
    x = 7,088,720,847.39/102,857.51
  6. Step 6: Final answer
    x = 68,917.87

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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.