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Finding the Fourth Proportional to 208,259.14, 312,400.80 and 58,511.10

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Solution

The fourth proportional to 208,259.14, 312,400.80 and 58,511.10 is: 87,770.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,259.14 : 312,400.80 = 58,511.10 : x
  2. Step 2: Convert to fraction form
    208,259.14/312,400.80 = 58,511.10/x
  3. Step 3: Cross multiply
    208,259.14x = 312,400.80 × 58,511.10
  4. Step 4: Simplify right side
    208,259.14x = 18,278,914,448.88
  5. Step 5: Solve for x
    x = 18,278,914,448.88/208,259.14
  6. Step 6: Final answer
    x = 87,770.05

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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.