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Finding the Fourth Proportional to 220,688.64, 330,773.64 and 102,109.52

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Solution

The fourth proportional to 220,688.64, 330,773.64 and 102,109.52 is: 153,044.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,688.64 : 330,773.64 = 102,109.52 : x
  2. Step 2: Convert to fraction form
    220,688.64/330,773.64 = 102,109.52/x
  3. Step 3: Cross multiply
    220,688.64x = 330,773.64 × 102,109.52
  4. Step 4: Simplify right side
    220,688.64x = 33,775,137,609.05
  5. Step 5: Solve for x
    x = 33,775,137,609.05/220,688.64
  6. Step 6: Final answer
    x = 153,044.30

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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.