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Finding the Fourth Proportional to 218,874.50, 302,046.84 and 118,272.50

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Solution

The fourth proportional to 218,874.50, 302,046.84 and 118,272.50 is: 163,216.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,874.50 : 302,046.84 = 118,272.50 : x
  2. Step 2: Convert to fraction form
    218,874.50/302,046.84 = 118,272.50/x
  3. Step 3: Cross multiply
    218,874.50x = 302,046.84 × 118,272.50
  4. Step 4: Simplify right side
    218,874.50x = 35,723,834,883.90
  5. Step 5: Solve for x
    x = 35,723,834,883.90/218,874.50
  6. Step 6: Final answer
    x = 163,216.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.