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Finding the Fourth Proportional to 75,286.02, 112,948.02 and 53,142.66

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Solution

The fourth proportional to 75,286.02, 112,948.02 and 53,142.66 is: 79,727.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,286.02 : 112,948.02 = 53,142.66 : x
  2. Step 2: Convert to fraction form
    75,286.02/112,948.02 = 53,142.66/x
  3. Step 3: Cross multiply
    75,286.02x = 112,948.02 × 53,142.66
  4. Step 4: Simplify right side
    75,286.02x = 6,002,358,224.53
  5. Step 5: Solve for x
    x = 6,002,358,224.53/75,286.02
  6. Step 6: Final answer
    x = 79,727.39

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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.