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Finding the Fourth Proportional to 218,771, 301,904.10 and 118,169

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Solution

The fourth proportional to 218,771, 301,904.10 and 118,169 is: 163,073.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,771 : 301,904.10 = 118,169 : x
  2. Step 2: Convert to fraction form
    218,771/301,904.10 = 118,169/x
  3. Step 3: Cross multiply
    218,771x = 301,904.10 × 118,169
  4. Step 4: Simplify right side
    218,771x = 35,675,705,592.90
  5. Step 5: Solve for x
    x = 35,675,705,592.90/218,771
  6. Step 6: Final answer
    x = 163,073.28

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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.