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Finding the Fourth Proportional to 75,657.51, 113,384.21 and 28,884.87

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Solution

The fourth proportional to 75,657.51, 113,384.21 and 28,884.87 is: 43,288.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,657.51 : 113,384.21 = 28,884.87 : x
  2. Step 2: Convert to fraction form
    75,657.51/113,384.21 = 28,884.87/x
  3. Step 3: Cross multiply
    75,657.51x = 113,384.21 × 28,884.87
  4. Step 4: Simplify right side
    75,657.51x = 3,275,088,021.48
  5. Step 5: Solve for x
    x = 3,275,088,021.48/75,657.51
  6. Step 6: Final answer
    x = 43,288.34

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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.