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Finding the Fourth Proportional to 75,169.51, 103,709.51 and 51,254.66

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Solution

The fourth proportional to 75,169.51, 103,709.51 and 51,254.66 is: 70,714.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,169.51 : 103,709.51 = 51,254.66 : x
  2. Step 2: Convert to fraction form
    75,169.51/103,709.51 = 51,254.66/x
  3. Step 3: Cross multiply
    75,169.51x = 103,709.51 × 51,254.66
  4. Step 4: Simplify right side
    75,169.51x = 5,315,596,157.33
  5. Step 5: Solve for x
    x = 5,315,596,157.33/75,169.51
  6. Step 6: Final answer
    x = 70,714.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.