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Finding the Fourth Proportional to 75,173.70, 112,750.83 and 28,420.50

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Solution

The fourth proportional to 75,173.70, 112,750.83 and 28,420.50 is: 42,627.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,173.70 : 112,750.83 = 28,420.50 : x
  2. Step 2: Convert to fraction form
    75,173.70/112,750.83 = 28,420.50/x
  3. Step 3: Cross multiply
    75,173.70x = 112,750.83 × 28,420.50
  4. Step 4: Simplify right side
    75,173.70x = 3,204,434,964.02
  5. Step 5: Solve for x
    x = 3,204,434,964.02/75,173.70
  6. Step 6: Final answer
    x = 42,627.08

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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.