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Finding the Fourth Proportional to 106,453.92, 146,965.50 and 77,745

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Solution

The fourth proportional to 106,453.92, 146,965.50 and 77,745 is: 107,331.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,453.92 : 146,965.50 = 77,745 : x
  2. Step 2: Convert to fraction form
    106,453.92/146,965.50 = 77,745/x
  3. Step 3: Cross multiply
    106,453.92x = 146,965.50 × 77,745
  4. Step 4: Simplify right side
    106,453.92x = 11,425,832,797.50
  5. Step 5: Solve for x
    x = 11,425,832,797.50/106,453.92
  6. Step 6: Final answer
    x = 107,331.25

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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.