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Finding the Fourth Proportional to 75,614.80, 113,465.40 and 28,901.20

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Solution

The fourth proportional to 75,614.80, 113,465.40 and 28,901.20 is: 43,368.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,614.80 : 113,465.40 = 28,901.20 : x
  2. Step 2: Convert to fraction form
    75,614.80/113,465.40 = 28,901.20/x
  3. Step 3: Cross multiply
    75,614.80x = 113,465.40 × 28,901.20
  4. Step 4: Simplify right side
    75,614.80x = 3,279,286,218.48
  5. Step 5: Solve for x
    x = 3,279,286,218.48/75,614.80
  6. Step 6: Final answer
    x = 43,368.31

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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.