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Finding the Fourth Proportional to 209,539.94, 314,339.38 and 67,337.60

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Solution

The fourth proportional to 209,539.94, 314,339.38 and 67,337.60 is: 101,015.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,539.94 : 314,339.38 = 67,337.60 : x
  2. Step 2: Convert to fraction form
    209,539.94/314,339.38 = 67,337.60/x
  3. Step 3: Cross multiply
    209,539.94x = 314,339.38 × 67,337.60
  4. Step 4: Simplify right side
    209,539.94x = 21,166,859,434.69
  5. Step 5: Solve for x
    x = 21,166,859,434.69/209,539.94
  6. Step 6: Final answer
    x = 101,015.87

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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.