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Finding the Fourth Proportional to 202,295.40, 278,879.78 and 138,532.20

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Solution

The fourth proportional to 202,295.40, 278,879.78 and 138,532.20 is: 190,977.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,295.40 : 278,879.78 = 138,532.20 : x
  2. Step 2: Convert to fraction form
    202,295.40/278,879.78 = 138,532.20/x
  3. Step 3: Cross multiply
    202,295.40x = 278,879.78 × 138,532.20
  4. Step 4: Simplify right side
    202,295.40x = 38,633,829,458.92
  5. Step 5: Solve for x
    x = 38,633,829,458.92/202,295.40
  6. Step 6: Final answer
    x = 190,977.30

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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.