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Finding the Fourth Proportional to 218,864, 302,032.32 and 118,262

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Solution

The fourth proportional to 218,864, 302,032.32 and 118,262 is: 163,201.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,864 : 302,032.32 = 118,262 : x
  2. Step 2: Convert to fraction form
    218,864/302,032.32 = 118,262/x
  3. Step 3: Cross multiply
    218,864x = 302,032.32 × 118,262
  4. Step 4: Simplify right side
    218,864x = 35,718,946,227.84
  5. Step 5: Solve for x
    x = 35,718,946,227.84/218,864
  6. Step 6: Final answer
    x = 163,201.56

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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.