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Finding the Fourth Proportional to 103,315.96, 154,727.86 and 71,757.52

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Solution

The fourth proportional to 103,315.96, 154,727.86 and 71,757.52 is: 107,465.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,315.96 : 154,727.86 = 71,757.52 : x
  2. Step 2: Convert to fraction form
    103,315.96/154,727.86 = 71,757.52/x
  3. Step 3: Cross multiply
    103,315.96x = 154,727.86 × 71,757.52
  4. Step 4: Simplify right side
    103,315.96x = 11,102,887,508.51
  5. Step 5: Solve for x
    x = 11,102,887,508.51/103,315.96
  6. Step 6: Final answer
    x = 107,465.37

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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.