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Finding the Fourth Proportional to 223,109.28, 307,782.72 and 147,720.96

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Solution

The fourth proportional to 223,109.28, 307,782.72 and 147,720.96 is: 203,783.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,109.28 : 307,782.72 = 147,720.96 : x
  2. Step 2: Convert to fraction form
    223,109.28/307,782.72 = 147,720.96/x
  3. Step 3: Cross multiply
    223,109.28x = 307,782.72 × 147,720.96
  4. Step 4: Simplify right side
    223,109.28x = 45,465,958,869.81
  5. Step 5: Solve for x
    x = 45,465,958,869.81/223,109.28
  6. Step 6: Final answer
    x = 203,783.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.