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Finding the Fourth Proportional to 84,241.52, 126,340.68 and 39,856.40

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Solution

The fourth proportional to 84,241.52, 126,340.68 and 39,856.40 is: 59,774.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,241.52 : 126,340.68 = 39,856.40 : x
  2. Step 2: Convert to fraction form
    84,241.52/126,340.68 = 39,856.40/x
  3. Step 3: Cross multiply
    84,241.52x = 126,340.68 × 39,856.40
  4. Step 4: Simplify right side
    84,241.52x = 5,035,484,678.35
  5. Step 5: Solve for x
    x = 5,035,484,678.35/84,241.52
  6. Step 6: Final answer
    x = 59,774.38

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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.