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Finding the Fourth Proportional to 70,182.84, 96,856.17 and 39,977.64

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Solution

The fourth proportional to 70,182.84, 96,856.17 and 39,977.64 is: 55,171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,182.84 : 96,856.17 = 39,977.64 : x
  2. Step 2: Convert to fraction form
    70,182.84/96,856.17 = 39,977.64/x
  3. Step 3: Cross multiply
    70,182.84x = 96,856.17 × 39,977.64
  4. Step 4: Simplify right side
    70,182.84x = 3,872,081,096.04
  5. Step 5: Solve for x
    x = 3,872,081,096.04/70,182.84
  6. Step 6: Final answer
    x = 55,171.34

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1.5x scale

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.