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Finding the Fourth Proportional to 202,002.58, 278,752.30 and 111,358.41

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Solution

The fourth proportional to 202,002.58, 278,752.30 and 111,358.41 is: 153,668.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,002.58 : 278,752.30 = 111,358.41 : x
  2. Step 2: Convert to fraction form
    202,002.58/278,752.30 = 111,358.41/x
  3. Step 3: Cross multiply
    202,002.58x = 278,752.30 × 111,358.41
  4. Step 4: Simplify right side
    202,002.58x = 31,041,412,911.84
  5. Step 5: Solve for x
    x = 31,041,412,911.84/202,002.58
  6. Step 6: Final answer
    x = 153,668.40

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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.