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Finding the Fourth Proportional to 223,109.78, 307,783.41 and 147,721.46

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Solution

The fourth proportional to 223,109.78, 307,783.41 and 147,721.46 is: 203,784.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,109.78 : 307,783.41 = 147,721.46 : x
  2. Step 2: Convert to fraction form
    223,109.78/307,783.41 = 147,721.46/x
  3. Step 3: Cross multiply
    223,109.78x = 307,783.41 × 147,721.46
  4. Step 4: Simplify right side
    223,109.78x = 45,466,214,688.98
  5. Step 5: Solve for x
    x = 45,466,214,688.98/223,109.78
  6. Step 6: Final answer
    x = 203,784.05

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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.