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Finding the Fourth Proportional to 218,866, 302,035.08 and 118,264

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Solution

The fourth proportional to 218,866, 302,035.08 and 118,264 is: 163,204.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,866 : 302,035.08 = 118,264 : x
  2. Step 2: Convert to fraction form
    218,866/302,035.08 = 118,264/x
  3. Step 3: Cross multiply
    218,866x = 302,035.08 × 118,264
  4. Step 4: Simplify right side
    218,866x = 35,719,876,701.12
  5. Step 5: Solve for x
    x = 35,719,876,701.12/218,866
  6. Step 6: Final answer
    x = 163,204.32

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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.