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Finding the Fourth Proportional to 218,998.50, 302,217.93 and 118,396.50

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Solution

The fourth proportional to 218,998.50, 302,217.93 and 118,396.50 is: 163,387.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,998.50 : 302,217.93 = 118,396.50 : x
  2. Step 2: Convert to fraction form
    218,998.50/302,217.93 = 118,396.50/x
  3. Step 3: Cross multiply
    218,998.50x = 302,217.93 × 118,396.50
  4. Step 4: Simplify right side
    218,998.50x = 35,781,545,149.25
  5. Step 5: Solve for x
    x = 35,781,545,149.25/218,998.50
  6. Step 6: Final answer
    x = 163,387.17

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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.