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Finding the Fourth Proportional to 100,073.70, 149,746.05 and 73,829.70

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Solution

The fourth proportional to 100,073.70, 149,746.05 and 73,829.70 is: 110,475.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,073.70 : 149,746.05 = 73,829.70 : x
  2. Step 2: Convert to fraction form
    100,073.70/149,746.05 = 73,829.70/x
  3. Step 3: Cross multiply
    100,073.70x = 149,746.05 × 73,829.70
  4. Step 4: Simplify right side
    100,073.70x = 11,055,705,947.69
  5. Step 5: Solve for x
    x = 11,055,705,947.69/100,073.70
  6. Step 6: Final answer
    x = 110,475.64

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1.5x scale

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.