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Finding the Fourth Proportional to 147,229, 220,843.50 and 36,421

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Solution

The fourth proportional to 147,229, 220,843.50 and 36,421 is: 54,631.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,229 : 220,843.50 = 36,421 : x
  2. Step 2: Convert to fraction form
    147,229/220,843.50 = 36,421/x
  3. Step 3: Cross multiply
    147,229x = 220,843.50 × 36,421
  4. Step 4: Simplify right side
    147,229x = 8,043,341,113.50
  5. Step 5: Solve for x
    x = 8,043,341,113.50/147,229
  6. Step 6: Final answer
    x = 54,631.50

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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.