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Finding the Fourth Proportional to 208,539.78, 312,809.73 and 75,417.06

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Solution

The fourth proportional to 208,539.78, 312,809.73 and 75,417.06 is: 113,125.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,539.78 : 312,809.73 = 75,417.06 : x
  2. Step 2: Convert to fraction form
    208,539.78/312,809.73 = 75,417.06/x
  3. Step 3: Cross multiply
    208,539.78x = 312,809.73 × 75,417.06
  4. Step 4: Simplify right side
    208,539.78x = 23,591,190,175.99
  5. Step 5: Solve for x
    x = 23,591,190,175.99/208,539.78
  6. Step 6: Final answer
    x = 113,125.61

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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.