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Finding the Fourth Proportional to 218,865, 302,033.70 and 118,263

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Solution

The fourth proportional to 218,865, 302,033.70 and 118,263 is: 163,202.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,865 : 302,033.70 = 118,263 : x
  2. Step 2: Convert to fraction form
    218,865/302,033.70 = 118,263/x
  3. Step 3: Cross multiply
    218,865x = 302,033.70 × 118,263
  4. Step 4: Simplify right side
    218,865x = 35,719,411,463.10
  5. Step 5: Solve for x
    x = 35,719,411,463.10/218,865
  6. Step 6: Final answer
    x = 163,202.94

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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.