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Finding the Fourth Proportional to 75,475.67, 113,265.77 and 28,134

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Solution

The fourth proportional to 75,475.67, 113,265.77 and 28,134 is: 42,220.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,475.67 : 113,265.77 = 28,134 : x
  2. Step 2: Convert to fraction form
    75,475.67/113,265.77 = 28,134/x
  3. Step 3: Cross multiply
    75,475.67x = 113,265.77 × 28,134
  4. Step 4: Simplify right side
    75,475.67x = 3,186,619,032.51
  5. Step 5: Solve for x
    x = 3,186,619,032.51/75,475.67
  6. Step 6: Final answer
    x = 42,220.48

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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.