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Finding the Fourth Proportional to 202,138.76, 278,945.04 and 111,498.68

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Solution

The fourth proportional to 202,138.76, 278,945.04 and 111,498.68 is: 153,864.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,138.76 : 278,945.04 = 111,498.68 : x
  2. Step 2: Convert to fraction form
    202,138.76/278,945.04 = 111,498.68/x
  3. Step 3: Cross multiply
    202,138.76x = 278,945.04 × 111,498.68
  4. Step 4: Simplify right side
    202,138.76x = 31,102,003,752.55
  5. Step 5: Solve for x
    x = 31,102,003,752.55/202,138.76
  6. Step 6: Final answer
    x = 153,864.62

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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.