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Finding the Fourth Proportional to 188,903.80, 283,402.14 and 55,783.36

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Solution

The fourth proportional to 188,903.80, 283,402.14 and 55,783.36 is: 83,688.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,903.80 : 283,402.14 = 55,783.36 : x
  2. Step 2: Convert to fraction form
    188,903.80/283,402.14 = 55,783.36/x
  3. Step 3: Cross multiply
    188,903.80x = 283,402.14 × 55,783.36
  4. Step 4: Simplify right side
    188,903.80x = 15,809,123,600.39
  5. Step 5: Solve for x
    x = 15,809,123,600.39/188,903.80
  6. Step 6: Final answer
    x = 83,688.75

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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.