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Finding the Fourth Proportional to 70,900.92, 97,878.70 and 54,949.56

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Solution

The fourth proportional to 70,900.92, 97,878.70 and 54,949.56 is: 75,857.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,900.92 : 97,878.70 = 54,949.56 : x
  2. Step 2: Convert to fraction form
    70,900.92/97,878.70 = 54,949.56/x
  3. Step 3: Cross multiply
    70,900.92x = 97,878.70 × 54,949.56
  4. Step 4: Simplify right side
    70,900.92x = 5,378,391,498.37
  5. Step 5: Solve for x
    x = 5,378,391,498.37/70,900.92
  6. Step 6: Final answer
    x = 75,857.85

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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.