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Finding the Fourth Proportional to 208,539.10, 312,808.65 and 129,612.70

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Solution

The fourth proportional to 208,539.10, 312,808.65 and 129,612.70 is: 194,419.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,539.10 : 312,808.65 = 129,612.70 : x
  2. Step 2: Convert to fraction form
    208,539.10/312,808.65 = 129,612.70/x
  3. Step 3: Cross multiply
    208,539.10x = 312,808.65 × 129,612.70
  4. Step 4: Simplify right side
    208,539.10x = 40,543,973,709.86
  5. Step 5: Solve for x
    x = 40,543,973,709.86/208,539.10
  6. Step 6: Final answer
    x = 194,419.05

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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.