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Finding the Fourth Proportional to 147,802, 203,971.80 and 80,738.32

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Solution

The fourth proportional to 147,802, 203,971.80 and 80,738.32 is: 111,421.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,802 : 203,971.80 = 80,738.32 : x
  2. Step 2: Convert to fraction form
    147,802/203,971.80 = 80,738.32/x
  3. Step 3: Cross multiply
    147,802x = 203,971.80 × 80,738.32
  4. Step 4: Simplify right side
    147,802x = 16,468,340,459.38
  5. Step 5: Solve for x
    x = 16,468,340,459.38/147,802
  6. Step 6: Final answer
    x = 111,421.63

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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.