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Finding the Fourth Proportional to 152,198.70, 209,905.32 and 91,756.08

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Solution

The fourth proportional to 152,198.70, 209,905.32 and 91,756.08 is: 126,545.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,198.70 : 209,905.32 = 91,756.08 : x
  2. Step 2: Convert to fraction form
    152,198.70/209,905.32 = 91,756.08/x
  3. Step 3: Cross multiply
    152,198.70x = 209,905.32 × 91,756.08
  4. Step 4: Simplify right side
    152,198.70x = 19,260,089,334.35
  5. Step 5: Solve for x
    x = 19,260,089,334.35/152,198.70
  6. Step 6: Final answer
    x = 126,545.69

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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.