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Finding the Fourth Proportional to 218,942.28, 302,139.47 and 118,340.28

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Solution

The fourth proportional to 218,942.28, 302,139.47 and 118,340.28 is: 163,309.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,942.28 : 302,139.47 = 118,340.28 : x
  2. Step 2: Convert to fraction form
    218,942.28/302,139.47 = 118,340.28/x
  3. Step 3: Cross multiply
    218,942.28x = 302,139.47 × 118,340.28
  4. Step 4: Simplify right side
    218,942.28x = 35,755,268,887.15
  5. Step 5: Solve for x
    x = 35,755,268,887.15/218,942.28
  6. Step 6: Final answer
    x = 163,309.11

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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.