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Finding the Fourth Proportional to 218,990.50, 302,207.61 and 118,389.22

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Solution

The fourth proportional to 218,990.50, 302,207.61 and 118,389.22 is: 163,377.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,990.50 : 302,207.61 = 118,389.22 : x
  2. Step 2: Convert to fraction form
    218,990.50/302,207.61 = 118,389.22/x
  3. Step 3: Cross multiply
    218,990.50x = 302,207.61 × 118,389.22
  4. Step 4: Simplify right side
    218,990.50x = 35,778,123,225.96
  5. Step 5: Solve for x
    x = 35,778,123,225.96/218,990.50
  6. Step 6: Final answer
    x = 163,377.51

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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.