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Finding the Fourth Proportional to 149,339.66, 206,088.66 and 82,271.66

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Solution

The fourth proportional to 149,339.66, 206,088.66 and 82,271.66 is: 113,534.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,339.66 : 206,088.66 = 82,271.66 : x
  2. Step 2: Convert to fraction form
    149,339.66/206,088.66 = 82,271.66/x
  3. Step 3: Cross multiply
    149,339.66x = 206,088.66 × 82,271.66
  4. Step 4: Simplify right side
    149,339.66x = 16,955,256,165.38
  5. Step 5: Solve for x
    x = 16,955,256,165.38/149,339.66
  6. Step 6: Final answer
    x = 113,534.85

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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.