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Finding the Fourth Proportional to 147,039.70, 202,951.81 and 83,415.70

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Solution

The fourth proportional to 147,039.70, 202,951.81 and 83,415.70 is: 115,134.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,039.70 : 202,951.81 = 83,415.70 : x
  2. Step 2: Convert to fraction form
    147,039.70/202,951.81 = 83,415.70/x
  3. Step 3: Cross multiply
    147,039.70x = 202,951.81 × 83,415.70
  4. Step 4: Simplify right side
    147,039.70x = 16,929,367,297.42
  5. Step 5: Solve for x
    x = 16,929,367,297.42/147,039.70
  6. Step 6: Final answer
    x = 115,134.67

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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.