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Finding the Fourth Proportional to 150,421.16, 207,581.24 and 82,440.83

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Solution

The fourth proportional to 150,421.16, 207,581.24 and 82,440.83 is: 113,768.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,421.16 : 207,581.24 = 82,440.83 : x
  2. Step 2: Convert to fraction form
    150,421.16/207,581.24 = 82,440.83/x
  3. Step 3: Cross multiply
    150,421.16x = 207,581.24 × 82,440.83
  4. Step 4: Simplify right side
    150,421.16x = 17,113,169,718.03
  5. Step 5: Solve for x
    x = 17,113,169,718.03/150,421.16
  6. Step 6: Final answer
    x = 113,768.37

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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.