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Finding the Fourth Proportional to 128,002.30, 192,003.45 and 107,266.30

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Solution

The fourth proportional to 128,002.30, 192,003.45 and 107,266.30 is: 160,899.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,002.30 : 192,003.45 = 107,266.30 : x
  2. Step 2: Convert to fraction form
    128,002.30/192,003.45 = 107,266.30/x
  3. Step 3: Cross multiply
    128,002.30x = 192,003.45 × 107,266.30
  4. Step 4: Simplify right side
    128,002.30x = 20,595,499,668.74
  5. Step 5: Solve for x
    x = 20,595,499,668.74/128,002.30
  6. Step 6: Final answer
    x = 160,899.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.