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Finding the Fourth Proportional to 128,591.64, 192,938.04 and 39,852

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Solution

The fourth proportional to 128,591.64, 192,938.04 and 39,852 is: 59,793.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,591.64 : 192,938.04 = 39,852 : x
  2. Step 2: Convert to fraction form
    128,591.64/192,938.04 = 39,852/x
  3. Step 3: Cross multiply
    128,591.64x = 192,938.04 × 39,852
  4. Step 4: Simplify right side
    128,591.64x = 7,688,966,770.08
  5. Step 5: Solve for x
    x = 7,688,966,770.08/128,591.64
  6. Step 6: Final answer
    x = 59,793.68

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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.