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Finding the Fourth Proportional to 208,543.10, 312,814.65 and 129,616.70

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Solution

The fourth proportional to 208,543.10, 312,814.65 and 129,616.70 is: 194,425.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,543.10 : 312,814.65 = 129,616.70 : x
  2. Step 2: Convert to fraction form
    208,543.10/312,814.65 = 129,616.70/x
  3. Step 3: Cross multiply
    208,543.10x = 312,814.65 × 129,616.70
  4. Step 4: Simplify right side
    208,543.10x = 40,546,002,644.66
  5. Step 5: Solve for x
    x = 40,546,002,644.66/208,543.10
  6. Step 6: Final answer
    x = 194,425.05

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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.