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Finding the Fourth Proportional to 149,332.65, 206,078.96 and 82,264.65

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Solution

The fourth proportional to 149,332.65, 206,078.96 and 82,264.65 is: 113,525.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,332.65 : 206,078.96 = 82,264.65 : x
  2. Step 2: Convert to fraction form
    149,332.65/206,078.96 = 82,264.65/x
  3. Step 3: Cross multiply
    149,332.65x = 206,078.96 × 82,264.65
  4. Step 4: Simplify right side
    149,332.65x = 16,953,013,722.43
  5. Step 5: Solve for x
    x = 16,953,013,722.43/149,332.65
  6. Step 6: Final answer
    x = 113,525.16

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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.