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Finding the Fourth Proportional to 208,917.20, 313,500.30 and 75,807.84

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Solution

The fourth proportional to 208,917.20, 313,500.30 and 75,807.84 is: 113,756.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,917.20 : 313,500.30 = 75,807.84 : x
  2. Step 2: Convert to fraction form
    208,917.20/313,500.30 = 75,807.84/x
  3. Step 3: Cross multiply
    208,917.20x = 313,500.30 × 75,807.84
  4. Step 4: Simplify right side
    208,917.20x = 23,765,779,482.61
  5. Step 5: Solve for x
    x = 23,765,779,482.61/208,917.20
  6. Step 6: Final answer
    x = 113,756.93

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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.